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Calabi-Yau and fractional Calabi-Yau categories

Authors
  • Kuznetsov, Alexander
Type
Preprint
Publication Date
Apr 15, 2016
Submission Date
Sep 25, 2015
Identifiers
arXiv ID: 1509.07657
Source
arXiv
License
Yellow
External links

Abstract

We 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 application of this construction and discuss some general properties of Calabi-Yau categories.

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