Find link

language:

Find link is a tool written by Edward Betts.

Longer titles found: Quasi-homogeneous polynomial (view)

searching for Homogeneous polynomial 26 found (129 total)

Ax–Kochen theorem (917 words) [view diff] exact match in snippet view article find links to article

prime numbers, such that if p is any prime not in Yd then every homogeneous polynomial of degree d over the p-adic numbers in at least d2 + 1 variables

Caloric polynomial (217 words) [view diff] no match in snippet view article find links to article

caloric polynomial (or heat polynomial) is a "parabolically m-homogeneous" polynomial Pm(x, t) that satisfies the heat equation ∂ P ∂ t = ∂ 2 P ∂ x 2

Covariant (invariant theory) (145 words) [view diff] exact match in snippet view article

generalization of a classical convariant,[clarification needed] which is a homogeneous polynomial map from the space of binary m-forms to the space of binary p-forms

Circular algebraic curve (399 words) [view diff] exact match in snippet view article find links to article

determined in homogeneous coordinates by G(x, y, z) = 0, where G is a homogeneous polynomial, then the curve is circular if and only if G(1, i, 0) = G(1, −i

Polynomial functor (427 words) [view diff] exact match in snippet view article find links to article

theory (the calculus of functors). In particular, the category of homogeneous polynomial functors of degree n is equivalent to the category of finite-dimensional

Scheme-theoretic intersection (769 words) [view diff] exact match in snippet view article find links to article

H=\{f=0\}\subset \mathbb {P} ^{n}} is a hypersurface defined by some homogeneous polynomial f in S, then X ∩ H = Proj ⁡ ( S / ( I , f ) ) . {\displaystyle X\cap

Brauer's theorem on forms (598 words) [view diff] exact match in snippet view article find links to article

n is greater than r2. Indeed, Emil Artin conjectured that every homogeneous polynomial of degree r over Qp in more than r2 variables represents 0. This

Quintic threefold (2,733 words) [view diff] exact match in snippet view article find links to article

where p ( x ) {\displaystyle p(x)} is a degree 5 {\displaystyle 5} homogeneous polynomial. One of the most studied examples is from the polynomial p ( x )

Frobenius formula (776 words) [view diff] exact match in snippet view article find links to article

{\displaystyle x_{1}^{\ell _{1}}\dots x_{k}^{\ell _{k}}} in the homogeneous polynomial in k {\displaystyle k} variables ∏ i < j k ( x i − x j ) ∏ j P j

Segre embedding (1,315 words) [view diff] exact match in snippet view article find links to article

categorical product (in the category of projective varieties and homogeneous polynomial maps) of P n {\displaystyle P^{n}\ } and P m {\displaystyle P^{m}}

Dual curve (1,751 words) [view diff] exact match in snippet view article find links to article

dual variety of X. Examples If X is a hypersurface defined by a homogeneous polynomial F(x0, ..., xn), then the dual variety of X is the image of X by

Glossary of invariant theory (4,629 words) [view diff] exact match in snippet view article find links to article

where a given function is positive. (Salmon 1885, p.243) form A homogeneous polynomial in several variables, also called a quantic. functional determinant

Schubert polynomial (1,509 words) [view diff] exact match in snippet view article find links to article

polynomial S w {\displaystyle {\mathfrak {S}}_{w}} is the unique homogeneous polynomial of degree ℓ ( w ) {\displaystyle \ell (w)} representing the Schubert

Branched covering (1,711 words) [view diff] exact match in snippet view article find links to article

examples come from ramified coverings of projective space. Given a homogeneous polynomial f ∈ C [ x 0 , … , x n ] {\displaystyle f\in \mathbb {C} [x_{0},\ldots

Prakash Belkale (622 words) [view diff] exact match in snippet view article find links to article

finite connected graph. The Kirchhoff polynomial of G is a certain homogeneous polynomial whose degree is equal to the first betti number of G. These polynomials

Glossary of classical algebraic geometry (11,193 words) [view diff] exact match in snippet view article find links to article

invariant homogeneous polynomial in the coefficients of a form, a covariant variable, and a contravariant variable. In other words it is a (tri)homogeneous polynomial

Definite quadratic form (1,202 words) [view diff] exact match in snippet view article find links to article

Type of homogeneous polynomial of degree 2

J-structure (1,449 words) [view diff] exact match in snippet view article find links to article

N(e) = 1. The degree of the J-structure is the degree of N as a homogeneous polynomial map. The quadratic map of the structure is a map P from V to End(V)

Real projective plane (2,704 words) [view diff] exact match in snippet view article find links to article

restricts to a map whose domain is S2 and, since each component is a homogeneous polynomial of even degree, it takes the same values in R4 on each of any two

Adjunction formula (2,340 words) [view diff] exact match in snippet view article find links to article

be a smooth plane curve cut out by a degree d {\displaystyle d} homogeneous polynomial F ( X , Y , Z ) {\displaystyle F(X,Y,Z)} . We claim that the canonical

Moduli space (4,050 words) [view diff] exact match in snippet view article find links to article

associated projective scheme for the degree d {\displaystyle d} homogeneous polynomial f {\displaystyle f} . There are several related notions of things

Gaussian integral (4,365 words) [view diff] exact match in snippet view article find links to article

change of basis shows that the integral of the exponential of a homogeneous polynomial in n variables may depend only on SL(n)-invariants of the polynomial

Chern–Weil homomorphism (2,782 words) [view diff] exact match in snippet view article find links to article

] G {\displaystyle f\in \mathbb {C} [{\mathfrak {g}}]^{G}} is a homogeneous polynomial function of degree k; i.e., f ( a x ) = a k f ( x ) {\displaystyle

Glossary of arithmetic and diophantine geometry (4,753 words) [view diff] exact match in snippet view article find links to article

exists, such that the field of is class Ck: that is, such that any homogeneous polynomial of degree d in N variables has a non-trivial zero whenever N > dk

Plücker coordinates (4,409 words) [view diff] exact match in snippet view article find links to article

p_{02}p_{31}+p_{03}p_{12}.\end{aligned}}} For proof, write this homogeneous polynomial as determinants and use Laplace expansion (in reverse). 0 = | x

Laplace–Runge–Lenz vector (10,218 words) [view diff] exact match in snippet view article find links to article

}=(\mathbf {p} \mathbf {\nabla } _{\mathbf {p} })} multiplies a homogeneous polynomial by its degree. The Casimir invariants for negative energies are