English

Perverse coherent sheaves (after Deligne)

Algebraic Geometry 2010-06-24 v2 Geometric Topology Representation Theory

Abstract

This note is mostly an exposition of an unpublished result of Deligne, which introduces an analogue of perverse tt-structure on the derived category of coherent sheaves on a Noetherian scheme with a dualizing complex. Construction extends to the category of coherent sheaves equivariant under an action of an algebraic group; though proof of the general statement in this case does not require new ideas, it provides examples (such as sheaves on the nilpotent cone of a semi-simple group equivariant under the adjoint action) where construction of coherent "intersection cohomology" sheaves works.

Keywords

Cite

@article{arxiv.math/0005152,
  title  = {Perverse coherent sheaves (after Deligne)},
  author = {Roman Bezrukavnikov},
  journal= {arXiv preprint arXiv:math/0005152},
  year   = {2010}
}

Comments

This preprint is superseded by arxiv:0902.0349, joint with D. Arinkin