Exceptional collections on isotropic Grassmannians

Details Exceptional collections on isotropic Grassmannians Exceptional collections on isotropic Grassmannians

2011-10-25

arxiv.org/abs/1110.5607v1

Mathematics

Algebraic Geometry

51 page

Scientific paper

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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