Hyperplane sections and stable derived categories
Kazushi Ueda
TL;DR
This paper explores the relationship between the stable derived categories of hypersurfaces and their hyperplane sections, motivated by homological mirror symmetry for Calabi-Yau manifolds and singularities.
Contribution
It establishes a connection between the stable derived categories of hypersurfaces and their hyperplane sections, advancing understanding in homological mirror symmetry.
Findings
Identifies a relation between stable derived categories of hypersurfaces and hyperplane sections.
Provides insights into homological mirror symmetry for Calabi-Yau manifolds.
Links singularity categories with geometric hypersurface data.
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.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
TopicsAlgebraic structures and combinatorial models · Algebraic Geometry and Number Theory · Nonlinear Waves and Solitons