English

Perverse coherent sheaves on the nilpotent cone in good characteristic

Representation Theory 2011-09-14 v1 Algebraic Geometry

Abstract

In characteristic zero, Bezrukavnikov has shown that the category of perverse coherent sheaves on the nilpotent cone of a simply connected semisimple algebraic group is quasi-hereditary, and that it is derived-equivalent to the category of (ordinary) coherent sheaves. We prove that graded versions of these results also hold in good positive characteristic.

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Cite

@article{arxiv.1109.2813,
  title  = {Perverse coherent sheaves on the nilpotent cone in good characteristic},
  author = {Pramod N. Achar},
  journal= {arXiv preprint arXiv:1109.2813},
  year   = {2011}
}

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23 pages