Hyperplane sections and stable derived categories
arXiv:1207.1167
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.
arXiv comment11 pages, v2: removed an error pointed out by Yukinobu Toda
References in corpus (7)
- FJRW rings and Landau-Ginzburg Mirror Symmetry
- Homological Mirror Symmetry for Calabi-Yau hypersurfaces in projective space
- Fukaya categories and deformations
- Homological mirror symmetry for the quintic 3-fold
- Tilting and cluster tilting for quotient singularities
- Berglund-Hübsch mirror symmetry via vertex algebras
- A note on homological mirror symmetry for singularities of type D