Perverse coherent sheaves on the nilpotent cone in good characteristic

2011/09/13 by Pramod N. Achar, Achar, Pramod N. · 2 citations
Mathematics · #Algebraic Geometry (math.AG) #FOS: Mathematics #Representation Theory (math.RT) #math.AG #math.RT

paper · pdf · doi:10.48550/arxiv.1109.2813

23 pages

arxiv created 2011/09/13 · arxiv updated 2011/09/14

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.

Cited by

• Tilting modules for reductive algebraic groups: characters and support varieties
• Perverse coherent sheaves on symplectic singularities

Related

• Quasi-exceptional sets and equivariant coherent sheaves on the nilpotent cone
• Perverse coherent sheaves (after Deligne)
• Calculations with graded perverse-coherent sheaves
• Perverse coherent sheaves on symplectic singularities
• Perverse sheaves on affine flags and nilpotent cone of the Langlands dual group