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This article is cited in 1 scientific paper (total in 1 paper)
Equivariant exceptional collections on smooth toric stacks
L. A. Borisova, D. O. Orlovb a Department of Mathematics, Rutgers University, USA
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 $\mathrm{PL}$-homeomorphism type
of the corresponding simplicial complex.
Keywords:
toric varieties and stacks, equivariant coherent sheaves, derived categories, exceptional collections, simplicial complexes.
Received: 21.06.2018
Citation:
L. A. Borisov, D. O. Orlov, “Equivariant exceptional collections on smooth toric stacks”, Izv. Math., 83:4 (2019), 698–730
Linking options:
https://www.mathnet.ru/eng/im8830https://doi.org/10.1070/IM8830 https://www.mathnet.ru/eng/im/v83/i4/p50
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Abstract page: | 510 | Russian version PDF: | 63 | English version PDF: | 71 | References: | 54 | First page: | 18 |
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