Hyperplane sections and stable derived categories

Ueda, Kazushi

doi:10.1090/S0002-9939-2014-12124-1

Hyperplane sections and stable derived categories
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Proc. Amer. Math. Soc. 142 (2014), 3019-3028 Request permission

Abstract:

We discuss the relation between the graded stable derived category of a hypersurface and that of its hyperplane section. The motivation comes from the compatibility between homological mirror symmetry for the Calabi-Yau manifold defined by an invertible polynomial and that for the singularity defined by the same polynomial.

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