Fractional Calabi�Yau categories from Landau�Ginzburg models
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Peer-reviewed
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Article
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Authors
Favero, David
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.
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Journal Title
Algebraic Geometry
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Journal ISSN
2214-2584
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Publisher
Foundation Compositio Mathematica
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Sponsorship
Engineering and Physical Sciences Research Council (EP/N004922/1)
National Science Foundation under Award No.\ DMS-1401446 and the Engineering and Physical Sciences Research Council under Grant EP/N004922/1