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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
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.
Received: 25.01.2017 and 06.06.2017
Citation:
A. G. Kuznetsov, “Exceptional collections in surface-like categories”, Sb. Math., 208:9 (2017), 1368–1398
Linking options:
https://www.mathnet.ru/eng/sm8917https://doi.org/10.1070/SM8917 https://www.mathnet.ru/eng/sm/v208/i9/p116
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Abstract page: | 524 | Russian version PDF: | 55 | English version PDF: | 21 | References: | 51 | First page: | 16 |
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