Equivariant exceptional collections on smooth toric stacks

Published 21 Jun 2018 in math.AG | (1806.08281v2)

Abstract: We study the bounded derived categories of torus-equivariant coherent sheaves on smooth toric varieties and Deligne-Mumford stacks. We construct and describe full exceptional collections in these categories. We also observe that these categories depend only on the PL homeomorphism type of the corresponding simplicial complex.

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