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searching for Derived category 28 found (110 total)

Intersection homology (2,615 words) [view diff] exact match in snippet view article find links to article

complex of constructible sheaves on X (considered as an element of the derived category, so the cohomology on the right means the hypercohomology of the complex)

Perfect complex (555 words) [view diff] exact match in snippet view article find links to article

perfect complex of modules over a commutative ring A is an object in the derived category of A-modules that is quasi-isomorphic to a bounded complex of finite

Constructible sheaf (915 words) [view diff] exact match in snippet view article find links to article

similar way (Artin, Grothendieck & Verdier 1972, Exposé IX § 2). For the derived category of constructible sheaves, see a section in ℓ-adic sheaf. The finiteness

ℓ-adic sheaf (1,044 words) [view diff] exact match in snippet view article find links to article

coefficients. In a way similar to that for ℓ-adic cohomology, the derived category of constructible Q¯ℓ{\displaystyle {\overline {\mathbb {Q} }}_{\ell

Grothendieck group (4,061 words) [view diff] exact match in snippet view article find links to article

For a derived category of some complex finite-dimensional positively graded algebra there is a subcategory in the unbounded derived category containing

Tom Bridgeland (714 words) [view diff] exact match in snippet view article find links to article

bounded derived category of coherent sheaves on a complex algebraic K3 surface. Bridgeland's work helped to establish the coherent derived category as a

Dual abelian variety (1,536 words) [view diff] exact match in snippet view article find links to article

bounded derived category of coherent sheaves on X. Historically, this was the first use of the Fourier-Mukai transform and shows that the bounded derived category

Nagata's compactification theorem (456 words) [view diff] exact match in snippet view article find links to article

define the functor Rf!{\displaystyle Rf_{!}} as valued in the pro-derived category of coherent sheaves. Hartshorne, Robin (1966). "Residues and duality"

Center (category theory) (1,091 words) [view diff] exact match in snippet view article

the above, the center of the derived category of R-modules (regarded as an ∞-category) is given by the derived category of modules over the cochain complex

Alexander Beilinson (1,027 words) [view diff] exact match in snippet view article find links to article

1289. Springer-Verlag. pp. 42–51. Beilinson, A. A. (1987). "On the derived category of perverse sheaves". K-theory, arithmetic and geometry (Manin seminar

Mixed Hodge module (1,476 words) [view diff] exact match in snippet view article find links to article

modules. The derived category of mixed Hodge modules DbMHM(X){\displaystyle D^{b}{\textbf {MHM}}(X)} is intimately related to the derived category of constructuctible

Albanese variety (972 words) [view diff] exact match in snippet view article find links to article

S2CID 59423465. Barbieri-Viale, Luca; Kahn, Bruno (2016), On the derived category of 1-motives, Astérisque, vol. 381, SMF, arXiv:1009.1900, ISBN 978-2-85629-818-3

Richard Thomas (mathematician) (1,095 words) [view diff] exact match in snippet view article

Pandharipande, R; Thomas, R. P (2009). "Curve counting via stable pairs in the derived category". Inventiones Mathematicae. 178 (2): 407–447. arXiv:0707.2348. Bibcode:2009InMat

K-theory (4,141 words) [view diff] exact match in snippet view article find links to article

^{g}/\mathbb {Z} ^{2g})} Moreover, the techniques above using the derived category of singularities for isolated singularities can be extended to isolated

Noncommutative algebraic geometry (1,709 words) [view diff] exact match in snippet view article find links to article

1, 1–36. A. Bondal, D. Orlov, Reconstruction of a variety from the derived category and groups of autoequivalences, Compositio Mathematica 125 (2001),

Teaching Excellence Framework (2,871 words) [view diff] exact match in snippet view article find links to article

negative flags, received bronze, "perhaps because one was not in an NSS-derived category". Wonkhe further noted that "it seems perverse that an institution

Jack Morava (520 words) [view diff] exact match in snippet view article find links to article

implied close connections between the stable homotopy category and the derived category of quasicoherent sheaves on the moduli stack of one-dimensional formal

Coherent sheaf (6,652 words) [view diff] exact match in snippet view article find links to article

{\mathcal {E}}} on a Noetherian scheme is quasi-isomorphic in the derived category to the complex of vector bundles :Ek→⋯→E1→E0{\displaystyle {\mathcal

The Colours of Animals (4,241 words) [view diff] exact match in snippet view article find links to article

Colours of Animals Classified According to Their Uses". The Greek derived category names include the now widely used aposematic and cryptic, alongside

*-autonomous category (897 words) [view diff] exact match in snippet view article find links to article

For example, Boyarchenko & Drinfeld (2013) mention that the bounded derived category of constructible l-adic sheaves on an algebraic variety has this property

SYZ conjecture (1,859 words) [view diff] exact match in snippet view article find links to article

{\hat {X}}}, the simplest example of a coherent sheaf appearing in the derived category of the mirror manifold. If the mirror torus fibrations are not in the

Serre duality (3,126 words) [view diff] exact match in snippet view article find links to article

an object ωX∙{\displaystyle \omega _{X}^{\bullet }} of the bounded derived category of coherent sheaves on X, Dcohb(X){\displaystyle D_{\operatorname {coh}

Gerbe (3,341 words) [view diff] exact match in snippet view article find links to article

used). In addition, two-term spectra from the stabilization of the derived category of comodules of Hopf-algebroids (A,Γ){\displaystyle (A,\Gamma )} with

Homotopy Lie algebra (2,527 words) [view diff] exact match in snippet view article find links to article

2140/agt.2010.10.1455. MR 2661534. S2CID 17829444. (Lie algebras in the derived category of coherent sheaves.) "Learning seminar on deformation theory". Max

Topological Hochschild homology (564 words) [view diff] exact match in snippet view article find links to article

that the Eilenberg–MacLane spectrum can be embed ring objects in the derived category of the integers D(Z){\displaystyle D(\mathbb {Z} )} into ring spectrum

Timeline of manifolds (1,178 words) [view diff] exact match in snippet view article find links to article

compact Calabi–Yau manifold are mirror pairs if and only if D(FukX) (the derived category of the Fukaya triangulated category of X concocted out of Lagrangian

Homotopy associative algebra (3,805 words) [view diff] exact match in snippet view article find links to article

derived categories are derived affine, meaning they are isomorphic the derived category of some algebra. A∞-category Associahedron Mirror symmetry conjecture

Lakota religion (14,588 words) [view diff] exact match in snippet view article find links to article

between the natural and the supernatural, the latter being a European-derived category. In Lakota belief, the wakʽąpi are immortal. Much of the information