Linear Koszul Duality

Abstract

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.

26 pages, final version, to appear in Compositio Mathematica

References in corpus (2)

• Koszul duality and modular representations of semi-simple Lie algebras
• Linear Koszul duality and affine Hecke algebras

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