Perverse coherent sheaves (after Deligne)
Abstract
This note is mostly an exposition of an unpublished result of Deligne, which introduces an analogue of perverse $t$-structure on the derived category of coherent sheaves on a Noetherian scheme with a dualizing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.
- Publication:
-
arXiv Mathematics e-prints
- Pub Date:
- May 2000
- DOI:
- arXiv:
- arXiv:math/0005152
- Bibcode:
- 2000math......5152B
- Keywords:
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- Mathematics - Algebraic Geometry;
- Mathematics - Geometric Topology;
- Mathematics - Representation Theory
- E-Print:
- This preprint is superseded by arxiv:0902.0349, joint with D. Arinkin