English

Perverse coherent sheaves

Algebraic Geometry 2021-02-04 v3 Representation Theory

Abstract

We describe an analogue of the notion of a perverse sheaf in the setting of the derived category of coherent sheaves on an algebraic stack. Under strong additional assumptions the construction of coherent "intersection cohomology" complexes works. This paper supersedes the preprint arXiv:math/0005152 by the second author.

Keywords

Cite

@article{arxiv.0902.0349,
  title  = {Perverse coherent sheaves},
  author = {Dmitry Arinkin and Roman Bezrukavnikov},
  journal= {arXiv preprint arXiv:0902.0349},
  year   = {2021}
}

Comments

This is a correction of the published version. The minus sign was missing in the homological shift at several places in Proposition 4.11 and its proof

R2 v1 2026-06-21T12:07:12.302Z