Equivariant sheaves
WebEquivariant definition: (mathematics, of a function) Not affected by a specified group action . WebOct 5, 2014 · From étale P +-representations to G-equivariant sheaves on G/P; By Peter Schneider, Wilhelms-Universität, Marie-France Vigneras, Université Paris, Gergely Zabradi, Eötvös Loránd University Edited by Fred Diamond, King's College London, Payman L. Kassaei, King's College London, Minhyong Kim, University of Oxford
Equivariant sheaves
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WebSection 39.12: Equivariant quasi-coherent sheaves ( cite) 39.12 Equivariant quasi-coherent sheaves We think of “functions” as dual to “space”. Thus for a morphism of … WebWe define a family of fully faithful functors from the category of torus equivariant reflexive sheaves on $Y$ to the category of torus equivariant reflexive sheaves on $X$. We …
WebThe "beyond GIT" project attempts to expand geometric invariant theory in two ways: 1) to use the ideas of GIT to understand the structure of derived categories of equivariant coherent sheaves, which in turn leads to new results in classical equivariant topology and geometry, and 2) to expand the methods of GIT to apply to general moduli … WebMar 6, 2013 · In particular, if G G is a discrete group, then equivariant sheaves are just the same as ordinary G G-sets. Observe that the definition of equivariant sheaf only …
WebSome remarks on equivariant sheaves Andres Fernandez Herrero Abstract This short note presents in an explicit manner the equivariant structure of the cotangent sheaf on any … WebThe equivariant derived category of sheaves is introduced. All usual functors on sheaves are extended to the equivariant situation. Some applications to the equivariant intersection cohomology are given. The …
WebSep 27, 2008 · Equivariant Sheaves on Flag Varieties Olaf M. Schnürer We show that the Borel-equivariant derived category of sheaves on the flag variety of a complex reductive group is equivalent to the perfect derived category of dg modules over the extension algebra of the direct sum of the simple equivariant perverse sheaves.
WebSep 15, 2008 · We give necessary and sufficient conditions for a G-equivariant coherent sheaf on X or a bounded- above complex of G-equivariant coherent sheaves on X to descend to a good quotient X a12G.Thisgives a description of the coherent derived category of X a12G as an admissible subcategory of the equivariant derived category of X. © … strother field dmvWebOct 27, 2015 · 1 Answer Sorted by: 3 μ can act on another sheaf (of sets) F via the usual axioms: a map μ × F → F satisfying unitality and associativity. Then an equivariant … strother field recyclingWebAbstract. We extend Álvarez-Cónsul and King description of moduli of sheaves over projective schemes to moduli of equivariant sheaves over projective Γ-schemes, for a finite group Γ. We introduce the notion of Kronecker–McKay modules and construct the moduli of equivariant sheaves using a natural functor from the category of equivariant ... strother field wldWebCOMPOSITIO MATHEMATICA Donaldson{Thomas theory of A n P P strother field ksWebOct 4, 2024 · Equivariant Functors and Sheaves Geoff Vooys In this thesis we study two main topics which culminate in a proof that four distinct definitions of the equivariant derived category of a smooth algebraic group acting on a variety are in fact equivalent. strother geWebIn this paper we study Grothendieck's equivariant sheaf cohomology H (X,G; G) for non-discrete topological groups G and G-sheaves G on a G-Space X. For compact groups and locally compact, totally disconnected groups we obtain detailed results relating H (X,G;-) to H (X;-) G and H (X/G;-). strother furniture mena arWebAug 26, 2024 · Let X denote a projective variety over an algebraically closed field on which a linear algebraic group acts with finitely many orbits. Then, a conjecture of Soergel and Lunts in the setting of Koszul duality and Langlands' philosophy, postulates that the equivariant derived category of bounded complexes with constructible equivariant cohomology … strother ford