Exceptional collections on isotropic Grassmannians

Published 25 Oct 2011 in math.AG and math.RT | (1110.5607v2)

Abstract: We introduce a new construction of exceptional objects in the derived category of coherent sheaves on a compact homogeneous space of a semisimple algebraic group and show that it produces exceptional collections of the length equal to the rank of the Grothendieck group on homogeneous spaces of all classical groups.

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