JOURNAL ARTICLE
Calabi–Yau and fractional Calabi–Yau categories
Year: 2017 Journal: Journal für die reine und angewandte Mathematik (Crelles Journal) Vol: 2019 (753)Pages: 239-267 Publisher: De Gruyter
Abstract
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.
Keywords:
Metrics
65
Cited By
15.36
FWCI (Field Weighted Citation Impact)
22
Refs
1.00
Citation Normalized Percentile
Is in top 1%
Is in top 10%
Citation History
Topics
Algebraic structures and combinatorial models
Physical Sciences → Mathematics → Geometry and Topology
Algebraic Geometry and Number Theory
Physical Sciences → Mathematics → Geometry and Topology
Advanced Algebra and Geometry
Physical Sciences → Mathematics → Mathematical Physics
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