Torus actions and tensor products of intersection cohomology

Asilata Bapat

Vol. 276 (2015), No. 1, 19–34

DOI: 10.2140/pjm.2015.276.19

Abstract

Given certain intersection cohomology sheaves on a projective variety with a torus action, we relate the cohomology groups of their tensor product to the cohomology groups of the individual sheaves. We also prove a similar result in the case of equivariant cohomology.

Keywords

intersection cohomology, torus action

Mathematical Subject Classification 2010

Primary: 14F05, 14F43, 14L30, 55N33

Milestones

Received: 8 July 2014

Revised: 12 December 2014

Accepted: 14 December 2014

Published: 1 July 2015