Calabi-Yau and fractional Calabi-Yau categories
Algebraic Geometry
2018-09-05 v2
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.
Keywords
Cite
@article{arxiv.1509.07657,
title = {Calabi-Yau and fractional Calabi-Yau categories},
author = {Alexander Kuznetsov},
journal= {arXiv preprint arXiv:1509.07657},
year = {2018}
}
Comments
24 pages, v2: minor corrections