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Longer titles found: Coherent sheaf cohomology (view)

searching for Sheaf cohomology 31 found (130 total)

Nonabelian cohomology (107 words) [view diff] no match in snippet view article find links to article

In mathematics, a nonabelian cohomology is any cohomology with coefficients in a nonabelian group, a sheaf of nonabelian groups or even in a topological

Lefschetz theorem on (1,1)-classes (778 words) [view diff] exact match in snippet view article

{exp} }{\longrightarrow }}{\mathcal {O}}_{X}^{\times }\to 0.} Taking sheaf cohomology of this exact sequence gives maps H 1 ( X , O X × ) → c 1 H 2 ( X

Kenneth Brown (mathematician) (196 words) [view diff] case mismatch in snippet view article

Daniel Quillen, with thesis Abstract Homotopy Theory and Generalized Sheaf Cohomology. He was an invited speaker at the International Congress of Mathematicians

N-group (category theory) (2,037 words) [view diff] exact match in snippet view article

n-groups constructed from a complex manifold X {\displaystyle X} and sheaf cohomology on X {\displaystyle X} . This is particularly applicable for complex

Bloch's formula (227 words) [view diff] exact match in snippet view article find links to article

^{q}(X,K_{q}({\mathcal {O}}_{X}))} where the right-hand side is the sheaf cohomology; K q ( O X ) {\displaystyle K_{q}({\mathcal {O}}_{X})} is the sheaf

Leray spectral sequence (2,446 words) [view diff] exact match in snippet view article find links to article

functors of Γ ∘ f ∗ {\displaystyle \Gamma \circ f_{*}} compute the sheaf cohomology for X {\displaystyle X} : R i ( Γ ⋅ f ∗ ) ( F ) = H i ( X , F ) . {\displaystyle

Hypercovering (575 words) [view diff] exact match in snippet view article find links to article

Jean-Louis Verdier in SGA4, Expose V, Sec. 7, Thm. 7.4.1, to compute sheaf cohomology in arbitrary Grothendieck topologies. For the étale site the definition

Ron Donagi (300 words) [view diff] exact match in snippet view article find links to article

mathematical theory of quantum sheaf cohomology, Preprint 2011 With Guffin, Katz, Sharpe: Physical aspects of quantum sheaf cohomology for deformation of tangent

Simplicial presheaf (821 words) [view diff] exact match in snippet view article find links to article

{\displaystyle \operatorname {H} ^{i}(X;A)=[X,K(A,i)]} where the left denotes a sheaf cohomology and the right the homotopy class of maps. cubical set N-group (category

Frank-Olaf Schreyer (527 words) [view diff] case mismatch in snippet view article find links to article

und angewandte Mathematik, 2000, pp. 147–181 with David Eisenbud: Sheaf Cohomology and Free Resolutions over Exterior Algebras, Arxiv 2000 with W. Decker:

Derived algebraic geometry (1,810 words) [view diff] exact match in snippet view article find links to article

and Sheaf Cohomology - JP May - E ∞ {\displaystyle E_{\infty }} -rings over characteristic 0 and E ∞ {\displaystyle E_{\infty }} -structure for sheaf cohomology

Yum-Tong Siu (570 words) [view diff] exact match in snippet view article find links to article

dissertation, titled "Coherent Noether-Lasker decomposition of subsheaves and sheaf cohomology", under the supervision of Robert C. Gunning. Before joining Harvard

Étale cohomology (5,016 words) [view diff] exact match in snippet view article find links to article

Serre's coherent sheaf cohomology calculated with the Zariski topology (and if X is a complex variety this is the same as the sheaf cohomology calculated with

Good filtration (263 words) [view diff] exact match in snippet view article find links to article

24033/asens.1615, ISSN 0012-9593, MR 1072820 Wang, Jian Pan (1982), "Sheaf cohomology on G/B and tensor products of Weyl modules", Journal of Algebra, 77

Kunihiko Kodaira (946 words) [view diff] exact match in snippet view article find links to article

structures depend continuously on parameters. It also identified the sheaf cohomology groups, for the sheaf associated with the holomorphic tangent bundle

Riemann–Roch theorem for surfaces (885 words) [view diff] exact match in snippet view article find links to article

general no easy way to write the h1(O(D)) term in a form not involving sheaf cohomology (although in practice it often vanishes). The earliest forms of the

Discrete series representation (1,366 words) [view diff] exact match in snippet view article find links to article

for the discrete series, using L2 cohomology instead of the coherent sheaf cohomology used in the compact case. An application of the index theorem, Atiyah

Henry Laufer (873 words) [view diff] case mismatch in snippet view article find links to article

Technologies) Spouse Marsha Zlatin Laufer Children 3 Scientific career Thesis Sheaf Cohomology and Envelopes of Holomorphy (1965) Doctoral advisor Robert Clifford

Alexander Nagel (675 words) [view diff] case mismatch in snippet view article find links to article

thesis Sheaves of Holomorphic Functions with Boundary Conditions and Sheaf Cohomology in Banach Algebras. At the University of Wisconsin, Madison, Nagel

Stephen M. Gersten (726 words) [view diff] exact match in snippet view article find links to article

S.; Gersten, Stephen M. (1973). "Algebraic K-theory as generalized sheaf cohomology". Higher K-Theories. Lecture Notes in Mathematics. Vol. 341. pp. 266–292

Lefschetz hyperplane theorem (1,762 words) [view diff] exact match in snippet view article find links to article

p+q=n-1} . By Hodge theory, these cohomology groups are equal to the sheaf cohomology groups H q ( X , ⋀ p Ω X ) {\displaystyle H^{q}(X,\textstyle \bigwedge

Abelian 2-group (1,503 words) [view diff] exact match in snippet view article find links to article

site". arXiv:1702.02128 [math.AG]. - gives techniques for defining sheaf cohomology with coefficients in a crossed module, or a Picard category Johnson

Twistor theory (4,188 words) [view diff] case mismatch in snippet view article find links to article

Origins of Twistor Theory." Jozsa, Richard (1976), "Applications of Sheaf Cohomology in Twistor Theory." Dunajski, Maciej (2009). "Twistor Theory and Differential

Hilbert scheme (3,385 words) [view diff] exact match in snippet view article find links to article

polynomial of a coherent sheaf with the Euler-characteristic of its sheaf cohomology groups. Pick a sufficiently large value of m {\displaystyle m} . The

Algebraic K-theory (10,382 words) [view diff] exact match in snippet view article find links to article

they together discovered a spectral sequence converging from the sheaf cohomology of K n {\displaystyle {\mathcal {K}}_{n}} , the sheaf of Kn-groups

Torsor (algebraic geometry) (2,638 words) [view diff] exact match in snippet view article

the g i j {\displaystyle g_{ij}} define a cohomology class in the sheaf cohomology (more precisely Čech cohomology with sheaf coefficient) group H 1 (

Kähler differential (4,378 words) [view diff] exact match in snippet view article find links to article

isomorphism of the latter cohomology group with singular cohomology (or sheaf cohomology) with complex coefficients, H n ( X an , C ) {\displaystyle H^{n}(X^{\text{an}}

Hodge structure (4,864 words) [view diff] exact match in snippet view article find links to article

(PDF) on 2020-01-04 (Gives tools for computing hodge numbers using sheaf cohomology) A Naive Guide to Mixed Hodge Theory Dimca, Alexandru (1992). Singularities

Deligne–Lusztig theory (4,066 words) [view diff] exact match in snippet view article find links to article

construction of representations of algebraic groups using coherent sheaf cohomology is also similar. For real semisimple groups there is an analogue of

Base change theorems (4,164 words) [view diff] exact match in snippet view article find links to article

(2016). Lurie (2009) has extended the above theorem to non-abelian sheaf cohomology, i.e., sheaves taking values in simplicial sets (as opposed to abelian

Poincaré lemma (3,526 words) [view diff] exact match in snippet view article find links to article

of it (in short, because the singular cohomology can be viewed as a sheaf cohomology.) Once one knows the de Rham theorem, the conclusion of the Poincaré