Perverse coherent sheaves on the nilpotent cone in good characteristic

Mathematics – Representation Theory

Scientific paper

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23 pages

Scientific paper

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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