Fractional Calabi-Yau Categories from Landau-Ginzburg Models
Algebraic Geometry
2017-06-23 v3
Abstract
We give criteria for the existence of a Serre functor on the derived category of a gauged Landau-Ginzburg model. This is used to provide a general theorem on the existence of an admissible (fractional) Calabi-Yau subcategory of a gauged Landau-Ginzburg model and a geometric context for crepant categorical resolutions. We explicitly describe our framework in the toric setting. As a consequence, we generalize several theorems and examples of Orlov and Kuznetsov, ending with new examples of semi-orthogonal decompositions containing (fractional) Calabi-Yau categories.
Keywords
Cite
@article{arxiv.1610.04918,
title = {Fractional Calabi-Yau Categories from Landau-Ginzburg Models},
author = {David Favero and Tyler L. Kelly},
journal= {arXiv preprint arXiv:1610.04918},
year = {2017}
}
Comments
59 pages, to appear in Algebraic Geometry