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arXiv · 1509.07657

Calabi-Yau and fractional Calabi-Yau categories

Alexander Kuznetsov
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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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BibTeXRIS

Alexander Kuznetsov. 2016-04-15. Calabi-Yau and fractional Calabi-Yau categories. https://doi.org/10.1515/crelle-2017-0004

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