Calabi–Yau and fractional Calabi–Yau categories-Reference-Cited by-同舟云学术

Calabi–Yau and fractional Calabi–Yau categories

Published:2019-08-01 Issue:753 Volume:2019 Page:239-267
ISSN:1435-5345
Container-title:Journal für die reine und angewandte Mathematik (Crelles Journal)
language:
Short-container-title:

Author:

Kuznetsov Alexander¹

Affiliation:

1. Steklov Mathematical Institute of Russian Academy of Sciences, 8 Gubkin Str., Moscow119991; and The Poncelet Laboratory, Independent University of Moscow; and Laboratory of Algebraic Geometry, National Research University Higher School of Economics, Moscow, Russia

Abstract

AbstractWe discuss Calabi–Yau and fractional Calabi–Yau semiorthogonal components of derived categories of coherent sheaves on smooth projective varieties. The main result is a general construction of a fractional Calabi–Yau category from a rectangular Lefschetz decomposition and a spherical functor. We give many examples of applications of this construction and discuss some general properties of Calabi–Yau categories.

Publisher

Walter de Gruyter GmbH

Subject

Applied Mathematics,General Mathematics

Link

https://www.degruyter.com/document/doi/10.1515/crelle-2017-0004/pdf

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