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searching for Subvariety 150 found (165 total)

alternate case: subvariety

Algebraic variety (5,757 words) [view diff] exact match in snippet view article find links to article

quasi-projective varieties, meaning that they were open subvarieties of closed subvarieties of projective space. For example, in Chapter 1 of Hartshorne

dialect very difficult to the ears of an outsider. There is an important subvariety of this dialect which is spoken by most of the communities of West African

Y {\displaystyle f:X\rightarrow Y} of varieties is a kind of 'large' subvariety of X {\displaystyle X} which is 'crushed' by f {\displaystyle f} , in

product of fields is not a field, so fields do not form a variety. A subvariety of a variety of algebras V is a subclass of V that has the same signature

The Haikou dialect is a topolect of Chinese and a subvariety of Hainanese spoken in Haikou, the capital of the Hainan province and island of China. The

Moss in The Cambridge British Flora (1914). Moss regarded the tree as a "subvariety" of U. nitens var. 'Hunnybunii', with a narrower form. Moss described

geometrical point of view, the most interesting case is when X is an algebraic subvariety; for more general cases, in mathematical analysis, some analogue of the

blowup is the universal (in the sense of category theory) way to turn a subvariety into a Cartier divisor. A blowup can also be called monoidal transformation

In algebraic geometry, divisors are a generalization of codimension-1 subvarieties of algebraic varieties. Two different generalizations are in common use

of period matrices for complex tori which define an algebraic subvariety. This subvariety contains all of the points whose period matrices correspond to

image of a complete variety is closed and is a complete variety. A closed subvariety of a complete variety is complete. A complex variety is complete if and

{g}}\to \operatorname {End} (V)\}.} The nilpotent cone is an irreducible subvariety of g {\displaystyle {\mathfrak {g}}} (considered as a vector space). The

the kernel may be intended. Or in other words take the largest abelian subvariety of J1 on which ψ is trivial. The theory of Prym varieties was dormant

The 12.17×42mm RF rimfire round was developed by a joint Swedish-Norwegian arms commission, and was adopted by the armed forces of both Sweden and Norway

of the associated Riemann theta-function. It is therefore an algebraic subvariety of A of dimension dim A − 1. Classical results of Bernhard Riemann describe

excluding 0). These elements are "special" in that they form an algebraic subvariety of the general linear group – they satisfy a polynomial equation (since

contained in a real-analytic subvariety of the same dimension. However, subanalytic sets are not in general contained in any subvariety of the same dimension

the homogeneous coordinate ring R of an algebraic variety V given as a subvariety of projective space of a given dimension N is by definition the quotient

geometry, Faltings' product theorem gives sufficient conditions for a subvariety of a product of projective spaces to be a product of varieties in the

on a smooth manifold X has a slice at each point x, in other words a subvariety W such that X looks locally like G×Gx W. (see slice theorem (differential

completion) of a subvariety of an algebraic torus, introduced by Jenia Tevelev. Given an algebraic torus and a connected closed subvariety of that torus

smooth algebraic variety or smooth complex manifold and Y be a smooth subvariety of X. Denote the inclusion map Y → X by i and the ideal sheaf of Y in

algebraic variety is projective if it can be embedded as a Zariski closed subvariety of P n {\displaystyle \mathbb {P} ^{n}} . A projective variety is a projective

note that the subset of invertible elements does not define an algebraic subvariety in A 1 {\displaystyle \mathbb {A} ^{1}} ). The special linear group S

a longer duration compared to other types of rice.[citation needed] A subvariety of the Samba, known as the Seeraga Samba or Jeera Samba (in Tamil: சீரக

In algebraic geometry, a formal holomorphic function along a subvariety V of an algebraic variety W is an algebraic analog of a holomorphic function defined

finitely many maximal strongly atypical subvarieties, where a strongly atypical subvariety is an atypical subvariety with no constant coordinate. Zilber,

it is obvious that any finite subset is contained in an open affine subvariety. This property fails for Hironaka's example: a two-points set consisting

In algebraic geometry, a Schubert variety is a certain subvariety of a Grassmannian, G r k ( V ) {\displaystyle \mathbf {Gr} _{k}(V)} of k {\displaystyle

m){\displaystyle (A,{\mathfrak {m}})} be the local ring of a variety X at a closed subvariety V codimension n (for example, V can be a closed point). Then

removed) is not an affine variety; cf. Hartogs' extension theorem. The subvarieties of codimension one in the affine space k n {\displaystyle k^{n}} are

Actually, every subvariety of the variety of lattices is tolerance factorable, and the only strongly tolerance factorable subvariety other than itself

more ranks can be made by using the prefix "sub" to make subspecies, subvariety, subforma. Very rarely even more forms are created, such as supersubspecies

means that a point of such a scheme may be either a usual point or a subvariety. This approach also enables a unification of the language and the tools

algebraic geometry, where it gives information about the intersection of two subvarieties of a given variety. The theory for varieties is older, with roots in

variety X {\displaystyle X} of dimension n {\displaystyle n} and a closed subvariety Y ⊂ X {\displaystyle Y\subset X} there is a long exact sequence in cohomologypg7-8

space. For any closed subvariety X in a projective space, the set of all hyperplanes tangent to some point of X is a closed subvariety of the dual of the

topological space. The elements of the Chow group are formed out of subvarieties (so-called algebraic cycles) in a similar way to how simplicial or cellular

correspondence between line bundles and divisors (built from codimension-1 subvarieties), there is an equivalent notion of an ample divisor. In more detail,

with elements for all subvarieties of A. The points of A are closed in the spectrum, while the elements corresponding to subvarieties have a closure consisting

convenient statement. For example, given an abelian subvariety A1 of A, there is another subvariety A2 of A such that A1 × A2 is isogenous to A (Poincaré's

proper is needed to exclude trivial solutions, such as taking X′ to be the subvariety of non-singular points of X. More generally, it is often useful to resolve

have two cases, vector bundles and coherent sheaves supported along a subvariety, so O ( k ) , O n x {\displaystyle {\mathcal {O}}(k),{\mathcal {O}}_{nx}}

morphism of the underlying locally ringed spaces. If X and Y are closed subvarieties of A n {\displaystyle \mathbb {A} ^{n}} and A m {\displaystyle \mathbb

{\displaystyle {\mathcal {C}}} , and X ⊂ M {\displaystyle X\subset M} its complex subvariety. Then X is also in Fujiki class C {\displaystyle {\mathcal {C}}} (, Lemma

\dim(W)+\operatorname {codim} (W)=\dim(V).} Similarly, if N is a submanifold or subvariety in M, then the codimension of N in M is codim ⁡ ( N ) = dim ⁡ ( M ) −

representations. To any finitely generated An-module M, there is a corresponding subvariety Char(M) of V × V∗ called the 'characteristic variety'[clarification needed]

example of a variety of finite semigroups that is not similar to any subvariety of the variety of (arbitrary) semigroups. We then give the difference

island is characterized by brush, palo santo trees and stands of a large subvariety of the Galápagos prickly pear cactus, Opuntia galapageia subvar. barringtonensis

states that a projective complex analytic variety, i.e., a closed analytic subvariety of the complex projective space C P n {\displaystyle \mathbb {C} \mathbf

algebraic subvarieties, finite unions and intersections of semialgebraic sets are still semialgebraic sets. Furthermore, unlike subvarieties, the complement

closure of a set of special points in a Shimura variety is a special subvariety. André's first version of the conjecture was just for one dimensional

cotangent bundle T∗X. The characteristic variety is defined to be the subvariety of the cotangent bundle cut out by the radical of the annihilator of gr

determinant is a polynomial map, and hence GL(n, R) is an open affine subvariety of Mn(R) (a non-empty open subset of Mn(R) in the Zariski topology), and

to be unaspirated in all positions, which serves as a marker of this subvariety. This is usually thought to be an Afrikaans influence. General and Cultivated

Mendocino AVA, a California wine region Torrontés Mendocino, a grape subvariety Mendocino County wine, produced in California Mendocino Ridge AVA, a California

algebraic cycle on an algebraic variety V is a formal linear combination of subvarieties of V. These are the part of the algebraic topology of V that is directly

U} . This is particularly relevant in two settings: f is defined on a subvariety V of X, and f has a pole of some sort at x, so is not even defined at

sort of measure of the local density of A near x. If x is not in the subvariety A the Lelong number is 0, and if x is a regular point the Lelong number

vector bundles, and finite morphisms. 5.  The affine cone over a closed subvariety X of a projective space is the Spec of the homogeneous coordinate ring

{\displaystyle A} by a semiabelian variety, C {\displaystyle C} by an arbitrary subvariety of A {\displaystyle A} , and Γ {\displaystyle \Gamma } by an arbitrary

(plural subspp.): subspecies (identical in English) subvar.: subvarietas; 'subvariety' var.: varietas; 'variety' bot. - botany zoo. - zoology × : cross; indicates

where σ is the specialization homomorphism; which sends a k-dimensional subvariety V to the normal cone to the intersection of V and X' in V. The result

Rhodanien) around the lower Rhone river, Arles, Avignon, Nîmes. A Rodanenc subvariety, the Shuadit (or Judeo-Provençal), has been considered extinct since 1977

q)\subset Z_{r+q}(X\times \Delta ^{q})} for the subgroup generated by closed subvarieties that intersect properly with X × F {\displaystyle X\times F} for each

algebraic variety. Given an algebraic variety X {\displaystyle X} and a subvariety V {\displaystyle V} of codimension 1 the order of vanishing for a polynomial

The de Rham cycle map also has a down-to-earth explanation: Given a subvariety Y of complex codimension r in a complete variety X of complex dimension

using terminology from universal algebra, the modular lattices form a subvariety of the variety of lattices. Therefore, all homomorphic images, sublattices

a simple normal crossings singularity. The variety itself, seen as a subvariety of the two-dimensional affine plane is an example of a normal crossings

of algebraic varieties V and W. Recall that f is defined by a closed subvariety Γ ⊂ V × W {\displaystyle \Gamma \subset V\times W} (a "graph" of f) such

In the language of algebraic geometry, this is the codimension of the subvariety of Spec( R {\displaystyle R} ) corresponding to I. It follows readily

There are general conjectures due to Shouwu Zhang and others concerning subvarieties that contain infinitely many periodic points or that intersect an orbit

quotient of SLn by the Borel subgroup of upper triangular matrices, Z is a subvariety and Y is a hyperplane. Theorem of Bertini has also been generalized to

reflects the key features of intersection theory (dimension and degree of a subvariety, with intersection being Poincaré dual to the cup product). Compactification

underlying manifold; by Stokes' theorem, every codimension-one complex subvariety is homologically nontrivial. For instance, the Calabi-Eckmann complex

arbitrary point d in D, let ℓd be the tangent line to D at d. Let X be the subvariety of C × D consisting of (c,d) such that ℓd passes through c. Given c, the

a singular variety X {\displaystyle X} , there is a naturally defined subvariety, S i n g ( X ) {\displaystyle \mathrm {Sing} (X)} , which is the singular

-equivalence was introduced by James Damon in the 1980s. Here V is a subset (or subvariety) of Y, and the diffeomorphism Ψ above is required to preserve not X ×

of its cones and gluing them together by identifying Uσ with an open subvariety of Uτ whenever σ is a face of τ. Conversely, every fan of strongly convex

Judeo-Kashani ("Kashi") is a subvariety of Judeo-Iranian spoken by the Jews of Kashan (Kāšān). Diachronically, Judeo-Kashani is a Median language, belonging

{\displaystyle w\subset V} given by these constraints then define special subvarieties of G r ( k , n ) {\displaystyle \mathbf {Gr} (k,n)} . There is a partial

eventually gave rise to several modern grape varieties in Europe. One subvariety, known to ampelographers and wine historians as V. vinifera pontica, was

singularities, and intersection cohomology complexes of irreducible closed subvarieties of X with coefficients in irreducible local systems. A D-module is something

The basic condition for general position is that points do not fall on subvarieties of lower degree than necessary; in the plane two points should not be

birational morphism to X is an isomorphism. An older notion is that a subvariety X of projective space is linearly normal if the linear system giving the

On a connected variety X {\displaystyle X} , the inclusion of any open subvariety i : U → X {\displaystyle i:U\to X} is a birational equivalence since the

geometrically, it is the coordinate ring of the normal cone along the subvariety defined by I. Let X be a topological space, H i(X; R) the ith cohomology

Salmon (1879, p.43) line A line in projective space; in other words a subvariety of degree 1 and dimension 1. line coordinates Projective coordinates.

times the Fubini–Study symplectic form). Let D be a smooth codimension-1 subvariety in Pn. The adjunction formula implies that KD = (KX + D)|D = (−(n+1)H

and cotangent spaces for a manifold in the analogous manner.) If V is a subvariety of an n-dimensional vector space, defined by an ideal I, then R = Fn /

these groups are representations of G. For any i ≥ 0, a codimension-i subvariety of V (understood to be defined over k) determines an element of the cohomology

of any open dense subvariety. In other words, the function field is insensitive to replacing X by a (slightly) smaller subvariety. The function field

vanishing locus in C P 3 {\displaystyle \mathbb {CP} ^{3}} is a smooth subvariety is a K3 surface. If we use the normal sequence 0 → T X → T C P 3 | X →

Southwest and the Midwest. One subvariety, referenced as Tejano English, is used mainly in southern Texas. California subvarieties are also widely studied,

dibrachius tetrapus", others named her condition "'posterior dichotomy,' subvariety schizorachis". One doctor, Brooks H. Wells, described her as "female,

on a smooth projective variety X {\displaystyle X} and codimension 2 subvarieties Y {\displaystyle Y} using a certain Ext 1 {\displaystyle {\text{Ext}}^{1}}

positive integer N, the solvable groups of derived length at most N form a subvariety of the variety of groups, as they are closed under the taking of homomorphic

{\displaystyle [X]=[Z]+[X\setminus Z]} if Z {\displaystyle Z} is a closed subvariety of X {\displaystyle X} , [ X 1 × X 2 ] = [ X 1 ] ⋅ [ X 2 ] {\displaystyle

(\Lambda ^{k}V)} . This shows that the Grassmannian embeds as an algebraic subvariety of P ( Λ k V ) {\displaystyle \mathbf {P} (\Lambda ^{k}V)} and gives another

var. pillansii - The type variety, with 200mm strap-shaped leaves. The subvariety ramkop with its broad, compact, patent leaves, is very popular as an ornamental

divisors, but in general they form an abstraction of a codimension-one subvariety of an algebraic variety, the set of solution points of a system of polynomial

space that is closed (in the ordinary topological sense) is an algebraic subvariety. This can be rephrased as "any analytic subspace of complex projective

that did not hold in RA. Hence the variety generated by RRA is a proper subvariety of the variety RA. In 1955, Alfred Tarski showed that RRA is itself a

MV-algebras form a variety of algebras. The variety of MV-algebras is a subvariety of the variety of BL-algebras and contains all Boolean algebras. An MV-algebra

geometry. A simple case of this is for a hypersurface (a codimension 1 subvariety, the zeros of a single polynomial, the case m = n − 1 {\displaystyle m=n-1}

are the matrices x with tr(x2)=0, which is a two dimensional conical subvariety of sl(2). n has a unique singular point 0, the fibre above which in the

1},\ldots ,x_{i,{n_{i}}}.} A multi-projective variety is a projective subvariety of the product of projective spaces P n 1 × ⋯ × P n k , {\displaystyle

on a projective variety X (in the Zariski topology). Then each closed subvariety Y of U is locally closed in X; namely, Y = U ∩ Y ¯ {\displaystyle Y=U\cap

reasonable property, it turns out that the property is true generically on the subvariety (in the sense of being true on an open dense subset) if and only if the

is Faltings's theorem on subvarieties of abelian varieties (generalizing the case of curves). Namely, if X is a subvariety of an abelian variety A over

{\displaystyle \mathbf {Gr} _{k}(V)} embeds as a nonsingular projective algebraic subvariety of the projectivization P ( Λ k V ) {\displaystyle \mathbf {P} (\Lambda

algebraic topology of a non-singular complex algebraic variety to its subvarieties. In simple terms, the Hodge conjecture asserts that the basic topological

colimits. RCR is a variety in the sense of universal algebra (but not a subvariety of commutative rings). For a real closed ring A, the natural homomorphism

c]}{(ac-b^{2})}}\right)=:\mathbb {A} ^{2}/(\mathbb {Z} /2)} which is a singular subvariety of A 3 {\displaystyle \mathbb {A} ^{3}} with isolated singularity at (

formulated the one-dimensional-subvariety case of what is now known as the André-Oort conjecture on special subvarieties of Shimura varieties. Only partial

smooth variety X {\displaystyle X} of dimension n {\displaystyle n} and a subvariety Y {\displaystyle Y} of codimension k {\displaystyle k} , there is the

Chinese nationalities; arguing that groups such as the Hui were merely a subvariety of the same minzu. The communists, which later established the People's

the Cape Colony by the Dutch East India Company. In the 20th century, a subvariety of Chenin planted in the Loire was found to be not actually Chenin blanc

X {\displaystyle X} be a smooth complex projective variety. A complex subvariety Y {\displaystyle Y} in X {\displaystyle X} of codimension p {\displaystyle

H^{n}(Z)\oplus H^{n}(Bl_{Z}(X))\to H^{n}(E)\to H^{n+1}(X)\to \cdots } If the subvariety Z {\displaystyle Z} is smooth, then the connecting morphisms are all trivial

Weil divisors (in the free abelian group generated by codimension-one subvarieties), and Cartier divisors coming from sections of invertible sheaves. The

Hemisphere) Note : nothosubspecies = a hybrid subspecies; nothovarietas = subvariety. Dactylorhiza × abantiana (D. iberica × D. nieschalkiorum) (Turkey). Dactylorhiza

independent, since the left-hand side of the equation belongs to the subvariety of   Λ 2 ( T ⋆ x M )   {\displaystyle \ \Lambda ^{2}(T_{\star x}M)\ }

Arabic dialect spoken in Baghdad, and the surrounding cities and it is a subvariety of Mesopotamian Arabic. Baghdad Jewish Arabic is the dialect spoken by

(r + 1) × (r + 1) matrices over S. Within this affine space, there is a subvariety W consisting of idempotent matrices of rank one. The image of such a matrix

complex projective space. (Chow's Theorem says that any closed analytic subvariety of projective space is defined by algebraic equations, and the GAGA principle

many characteristic class computations since for any smooth projective subvariety X ⊂ P n {\displaystyle X\subset \mathbb {P} ^{n}} there is the short exact

more accessible to the general population through the mid-1960s. It is a subvariety of Antillean Creole, which is spoken in other islands of the Lesser Antilles

in CPn+1 of degree d at least 2n+1 has the property that every closed subvariety of X is of general type. ("Very general" means that the property holds

small enough. The security of cryptographic systems based on trace zero subvarieties according to the results of the papers comparable to the security of

\operatorname {Gr} _{k}(V)} , can be naturally identified with an algebraic subvariety of the projective space P ( ⋀ k ( V ) ) {\textstyle \mathbf {P} {\bigl

axioms provide an analogous characterization of inverse semigroups as a subvariety of *-semigroups: x = xx*x (xx*)(x*x) = (x*x)(xx*) The first of these looks

locally the quotient of a smooth variety by a finite group. Also, the open subvariety M ¯ 0 , n ∗ ( X , β ) {\displaystyle {\overline {M}}_{0,n}^{*}(X,\beta

subvarieties that are not of general type. For abelian varieties the definition would be the union of all translates of proper abelian subvarieties.

Collins–Yau. Suppose that V ⊂ X {\displaystyle V\subset X} is any analytic subvariety of dimension p {\displaystyle p} . Define the central charge Z V ( [ α

and attributes, among other things. The player can sometimes choose a subvariety of a race or class, such as Deep Gnome or Cleric of Ilmater. Race, alignment

bundle play a fundamental role in geometry. More generally, for a closed subvariety Y {\displaystyle Y} of X {\displaystyle X} with inclusion i : Y → X {\displaystyle

Prolongement des sous-variétés analytiques, d'après W. Rothstein (analytic subvariety) Jacques Dixmier, Travaux de Malgrange sur les équations aux dérivées

called the circular points. The projective variety of all circles is the subvariety of P5 consisting of those points which correspond to conics passing through

{\displaystyle V\subseteq X} is a subvariety, then V {\displaystyle V} contains only finitely many atypical subvarieties. Andrews–Curtis conjecture: every

invariable, invariance, invariant, miniver, multivariable, multivariate, subvariety, univariate, vair, vairy, variability, variable, variance, variant, variate

self-intersection. These curves should be thought of geometrically as subvarieties on which X {\displaystyle X} has a concentration of negative curvature

closed immersion is formally unramified. If f is the inclusion of a smooth subvariety, then this sequence is a short exact sequence. This suggests that the

high-dimension N. Chow's theorem shows that the complex analytic subspace (subvariety) of a closed complex projective space to be an algebraic that is, so it

Rectangular skew lattices, left-handed and right-handed skew lattices all form subvarieties that are central to the basic structure theory of skew lattices. Here

the subcategory. For example, for X a smooth projective variety and Y a subvariety not equal to X, the subcategory of D b ( X ) {\displaystyle {\text{D}}^{\text{b}}(X)}

WD (February 1970). "Robin's syndrome. A probably X-linked recessive subvariety exhibiting persistence of left superior vena cava and atrial septal defect"

Mantilla, Espadeiro Branco (No connection to the red variety Espadeiro or subvariety Espadeiro Branco), Sa Douro, Sedouro Beba 51808 22710 B Hebén = Mourisco

construct an explicit biholomorphism between X and a closed smooth algebraic subvariety of complex projective space. This implies in particular that X is compact

algebraic scheme U n {\displaystyle {\mathcal {U}}_{n}} , which is the open subvariety of A n {\displaystyle \mathbb {A} ^{n}} obtained by removing the closed