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Hyperplane sections and stable derived categories


Author: Kazushi Ueda
Journal: Proc. Amer. Math. Soc. 142 (2014), 3019-3028
MSC (2010): Primary 13C14, 13D09; Secondary 14J33
DOI: https://doi.org/10.1090/S0002-9939-2014-12124-1
Published electronically: June 2, 2014
MathSciNet review: 3223358
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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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Additional Information

Kazushi Ueda
Affiliation: Department of Mathematics, Graduate School of Science, Osaka University, Machikaneyama 1-1, Toyonaka, Osaka, 560-0043, Japan
Email: kazushi@math.sci.osaka-u.ac.jp

DOI: https://doi.org/10.1090/S0002-9939-2014-12124-1
Received by editor(s): July 18, 2012
Received by editor(s) in revised form: October 2, 2012
Published electronically: June 2, 2014
Communicated by: Lev Borisov
Article copyright: © Copyright 2014 American Mathematical Society