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Calabi–Yau and fractional Calabi–Yau categories
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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 applications of this construction and discuss some general properties of Calabi–Yau categories.
Walter de Gruyter GmbH
Title: Calabi–Yau and fractional Calabi–Yau categories
Description:
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 applications of this construction and discuss some general properties of Calabi–Yau categories.
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