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Perverse coherent sheaves on the nilpotent cone in good characteristic

Published 13 Sep 2011 in math.RT and math.AG | (1109.2813v1)

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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