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Hyperplane sections and stable derived categories

By Kazushi Ueda

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.Comment: 11 pages, v2: removed an error pointed out by Yukinobu Tod

Topics: Mathematics - Algebraic Geometry, 13D09, 13C14
Year: 2012
OAI identifier: oai:arXiv.org:1207.1167
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