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Izvestiya: Mathematics, 2019, Volume 83, Issue 4, Pages 698–730
DOI: https://doi.org/10.1070/IM8830 (Mi im8830) 		 
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
English version PDF (760 kB) Citations (1) Russian version article
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DOI: https://doi.org/10.1070/IM8830
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.
Funding agency Grant number
National Science Foundation DMS-1601907
L. A. Borisov was partially supported by NSF grant DMS-1601907.
Received: 21.06.2018
Bibliographic databases:
Document Type: Article
UDC: 512.7
MSC: Primary 14F05; Secondary 14M25, 55U10
Language: English
Original paper language: Russian
Citation: L. A. Borisov, D. O. Orlov, “Equivariant exceptional collections on smooth toric stacks”, Izv. Math., 83:4 (2019), 698–730
Citation in format AMSBIB
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\by L.~A.~Borisov, D.~O.~Orlov
\paper Equivariant exceptional collections on smooth toric stacks
\jour Izv. Math.
\yr 2019
\vol 83
\issue 4
\pages 698--730
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  • https://doi.org/10.1070/IM8830
  • https://www.mathnet.ru/eng/im/v83/i4/p50
    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Известия Российской академии наук. Серия математическая Izvestiya: Mathematics
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    Abstract page:513
    Russian version PDF:64
    English version PDF:73
    References:54
    First page:18
     
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