Perverse coherent sheaves (after Deligne)
代数几何
2010-06-24 v2 几何拓扑
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摘要
This note is mostly an exposition of an unpublished result of Deligne, which introduces an analogue of perverse -structure on the derived category of coherent sheaves on a Noetherian scheme with a dualizing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.
引用
@article{arxiv.math/0005152,
title = {Perverse coherent sheaves (after Deligne)},
author = {Roman Bezrukavnikov},
journal= {arXiv preprint arXiv:math/0005152},
year = {2010}
}
备注
This preprint is superseded by arxiv:0902.0349, joint with D. Arinkin