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hal-00476254, version 1

Linear Koszul duality

Simon Riche () 1, Ivan Mirkovic 2

Compositio Mathematica 146 (2010) 233-258

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 \Gm-equivariant coherent (dg-)sheaves on the derived intersection of F_1 and F_2 inside E, and the corresponding derived intersection of orthogonals in the dual vector space. We also propose applications to Hecke algebras.

  • 1:  Laboratoire de Mathématiques
  • CNRS : UMR6620 – Université Blaise Pascal - Clermont-Ferrand II
  • 2:  University of Massachusetts (UMASS)
  • University of Massachusetts
  • Domain : Mathematics/Representation Theory
 
  • hal-00476254, version 1
  • http://hal.archives-ouvertes.fr/hal-00476254
  • oai:hal.archives-ouvertes.fr:hal-00476254
  • From: Simon Riche <>
  • Submitted on: Sunday, 25 April 2010 17:41:27
  • Updated on: Thursday, 29 April 2010 08:18:21