English

Hyperplane sections and stable derived categories

Algebraic Geometry 2012-07-09 v2

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.

Keywords

Cite

@article{arxiv.1207.1167,
  title  = {Hyperplane sections and stable derived categories},
  author = {Kazushi Ueda},
  journal= {arXiv preprint arXiv:1207.1167},
  year   = {2012}
}

Comments

11 pages, v2: removed an error pointed out by Yukinobu Toda

R2 v1 2026-06-21T21:30:49.581Z