Calabi–Yau and fractional Calabi–Yau categories

By Alexander Kuznetsov. Journal für die Reine und Angewandte Mathematik, 2015

135 citations recorded by the source corpus.

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.

Subfields: Geometry and Topology, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/a88f33adb61d1c48bb84fd2c1f52eb9c88dc0a6c

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In Geometry and Topology

1. Amnon Yekutieli
2. Andrei Căldăraru
3. Michel van den Bergh
4. Yukinobu Toda
5. A. Ramadoss
6. Masaki Kashiwara
7. James J. Zhang
8. Wendy Lowen

In Mathematical Physics

1. Amnon Yekutieli
2. Andrei Căldăraru
3. Michel van den Bergh
4. Yukinobu Toda
5. A. Ramadoss
6. Masaki Kashiwara
7. Damien Calaque
8. James J. Zhang

Citations in the corpus

• Derived Categories (2016, background): “The concept of CY triangulated categories later showed up in various mathematical areas, including: • Algebraic geometry (see [91]).”