Open AccessBook
Equivariant Sheaves and Functors
Joseph Bernstein,Valery A. Lunts +1 more
Reads0
Chats0
TLDR
In this paper, the DG-modules and equivariant cohomology of toric varieties have been studied, and the derived category D G (X) and functors have been defined.Abstract:
Derived category D G (X) and functors.- DG-modules and equivariant cohomology.- Equivariant cohomology of toric varieties.read more
Citations
More filters
Posted Content
Exotic symmetric space over a finite field, II
Toshiaki Shoji,Karine Sorlin +1 more
TL;DR: In this paper, it was shown that the Poincare polynomials of the intersection cohomology complex associated to the closure of Sp 2n-orbits in the Kato's exotic nilpotent cone coincide with the modified Kostka polynomial indexed by double partitions, introduced by the first author.
Journal ArticleDOI
Descent of coherent sheaves and complexes to geometric invariant theory quotients
TL;DR: In this paper, necessary and sufficient conditions for a G-equivariant coherent sheaf on a scheme X over a field of characteristic zero that is equipped with an action of a reductive algebraic group G are given.
Posted Content
Algebraic Families of Harish-Chandra Pairs
TL;DR: In this article, a family of generically irreducible families of Harish-Chandra modules is presented, in the case of the family associated to SL(2, R).
Journal ArticleDOI
Intersection cohomology of quotients of nonsingular varieties
TL;DR: In this paper, the authors present a way to compute the middle perversity intersection cohomology of the singular quotients, which is an important topological invariant in algebraic geometry.
Journal ArticleDOI
The homological projective dual of Sym^2 P(V)
TL;DR: In this article, the derived category of a complete intersection X of bilinear divisors in the orbifold Sym^2 P(V) was studied in the spirit of Kuznetsov's theory of homological projective duality.