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Calabi-Yau and fractional Calabi-Yau categories

Published 25 Sep 2015 in math.AG | (1509.07657v2)

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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Authors (1)

  1. Alexander Kuznetsov 

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