Equivariant derived category of a complete symmetric variety

Details Equivariant derived category of a complete symmetric variety Equivariant derived category of a complete symmetric variety

2004-12-21

arxiv.org/abs/math/0412437v1

Mathematics

Algebraic Geometry

52 pages

Scientific paper

Let G be a complex algebraic semi-simple adjoint group and X a smooth complete symmetric G-variety. Let L_i be the irreducible G-equivariant intersection cohomology complexes on X, and L the direct sum of the L_i. Let E= Ext(L,L) be the extension algebra of L, computed in the G-equivariant derived category of X. We considered E as a dg-algebra with differential d=0, and the E_i = Ext(L,L_i) as E-dg-modules. We show that the bounded equivariant derived category of sheaves of C-vector spaces on X is equivalent to the subcategory of the derived category of E-dg-modules generated by the E_i.

Affiliated with

Also associated with

No associations

Rating

Equivariant derived category of a complete symmetric variety does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Equivariant derived category of a complete symmetric variety, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Equivariant derived category of a complete symmetric variety will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-121915