Displaying similar documents to “On the derived categories of coherent sheaves on some homogeneous spaces.”

Exceptional collections on isotropic Grassmannians

Alexander Kuznetsov, Alexander Polishchuk (2016)

Journal of the European Mathematical Society

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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.