This article is cited in 1 paper

On the homotopy finiteness of DG categories

A. I. Efimov<sup>ab

a</sup> Steklov Mathematical Institute of Russian Academy of Sciences, Moscow
^b National Research University Higher School of Economics

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.

UDC: 512.7

MSC: 14E05, 18E30, 18E35

Received: 01.04.2019

DOI: 10.4213/rm9887

 English version: Russian Mathematical Surveys, 2019, 74:3, 431–460

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