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arXiv · 1109.2813

Perverse coherent sheaves on the nilpotent cone in good characteristic

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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Pramod N. Achar. 2011-09-13. Perverse coherent sheaves on the nilpotent cone in good characteristic. https://arxiv.org/abs/1109.2813

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