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Russian Mathematical Surveys, 2019, Volume 74, Issue 3, Pages 431–460
DOI: https://doi.org/10.1070/RM9887 (Mi rm9887) 		 
This article is cited in 1 scientific paper (total in 1 paper)

On the homotopy finiteness of DG categories

A. I. Efimovab

a Steklov Mathematical Institute of Russian Academy of Sciences, Moscow
b National Research University Higher School of Economics
English version PDF (651 kB) Citations (1)
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DOI: https://doi.org/10.1070/RM9887
Abstract: This paper gives a short overview of results related to homotopy finiteness of DG categories. A general plan is explained for proving homotopy finiteness of derived categories of coherent sheaves and coherent matrix factorizations on separated schemes of finite type over a field of characteristic zero.
Bibliography: 39 titles.
Keywords: derived categories, differential graded categories, homotopy finiteness, Verdier localization, resolution of singularities.
Funding agency Grant number
Ministry of Education and Science of the Russian Federation 14.641.31.0001
This work was supported by the Laboratory of Mirror Symmetry, National Research University Higher School of Economics (Russian Federation government grant, ag. no. 14.641.31.0001).
Received: 01.04.2019
Russian version:
Uspekhi Matematicheskikh Nauk, 2019, Volume 74, Issue 3(447), Pages 63–94
DOI: https://doi.org/10.4213/rm9887
Bibliographic databases:
Document Type: Article
UDC: 512.7
MSC: 14E05, 18E30, 18E35
Language: English
Original paper language: Russian
Citation: A. I. Efimov, “On the homotopy finiteness of DG categories”, Uspekhi Mat. Nauk, 74:3(447) (2019), 63–94; Russian Math. Surveys, 74:3 (2019), 431–460
Citation in format AMSBIB
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    Russian version PDF:88
    English version PDF:49
    References:56
    First page:50
     
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