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Izv. RAN. Ser. Mat., Forthcoming paper (Mi izv8830)  

Equivariant exceptional collections on smooth toric stacks

L. A. Borisova, D. O. Orlovb

a Rutgers, The State University of New Jersey, Department of Mathematics
b Steklov Mathematical Institute of Russian Academy of Sciences, Moscow

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.

Keywords: Toric varieties and stacks, equivariant coherent sheaves, derived categories, exceptional collections, simplicial complexes.


English version:
DOI: https://doi.org/10.1070/IM8830

Document Type: Article
UDC: 512.7
MSC: 14F05, 14M25, 55U10.
Received: 21.06.2018

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