Linear Koszul Duality

Details Linear Koszul Duality Linear Koszul Duality

2008-04-06

arxiv.org/abs/0804.0923v2

Mathematics

Representation Theory

26 pages, final version, to appear in Compositio Mathematica

Scientific paper

In this paper we construct, for F_1 and F_2 subbundles of a vector bundle E,
a "Koszul duality" equivalence between derived categories of G_m-equivariant
coherent (dg-)sheaves on the derived intersection of F_1 and F_2 inside E, and
the corresponding derived intersection of the orthogonals of F_1 and F_2 inside
the dual vector bundle E^*. We also propose applications to Hecke algebras.

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