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Calabi-Yau and fractional Calabi-Yau categories

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Type
Preprint
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Submission Date
Identifiers
arXiv ID: 1509.07657
Source
arXiv
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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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