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Sbornik: Mathematics, 2017, Volume 208, Issue 9, Pages 1368–1398
DOI: https://doi.org/10.1070/SM8917 (Mi sm8917) 		 
This article is cited in 6 scientific papers (total in 6 papers)

Exceptional collections in surface-like categories

A. G. Kuznetsov

Steklov Mathematical Institute of Russian Academy of Sciences, Moscow
English version PDF (632 kB) Citations (6) Russian version article
References:
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DOI: https://doi.org/10.1070/SM8917
Abstract: We provide a categorical framework for recent results of Markus Perling's on the combinatorics of exceptional collections on numerically rational surfaces. Using it we simplify and generalize some of Perling's results as well as Vial's criterion for the existence of a numerical exceptional collection.
Bibliography: 18 titles.
Keywords: surface-like pseudolattices, exceptional collections, mutations, toric systems.
Funding agency Grant number
Russian Science Foundation 14-50-00005
This research was funded by a grant of the Russian Science Foundation (project no. 14-50-00005).
Received: 25.01.2017 and 06.06.2017
Bibliographic databases:
Document Type: Article
UDC: 512.647.2+512.774.2
MSC: 14F05
Language: English
Original paper language: Russian
Citation: A. G. Kuznetsov, “Exceptional collections in surface-like categories”, Sb. Math., 208:9 (2017), 1368–1398
Citation in format AMSBIB
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\paper Exceptional collections in surface-like categories
\jour Sb. Math.
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\vol 208
\issue 9
\pages 1368--1398
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  • https://doi.org/10.1070/SM8917
  • https://www.mathnet.ru/eng/sm/v208/i9/p116
    • This publication is cited in the following 6 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Математический сборник Sbornik: Mathematics
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    Abstract page:531
    Russian version PDF:55
    English version PDF:22
    References:52
    First page:16
     
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