Exceptional Collections for Mirrors of Invertible Polynomials
Algebraic Geometry
2023-03-07 v3
Abstract
We prove the existence of a full exceptional collection for the derived category of equivariant matrix factorizations of an invertible polynomial with its maximal symmetry group. This proves a conjecture of Hirano--Ouchi. In the Gorenstein case, we also prove a stronger version of this conjecture due to Takahashi. Namely, that the full exceptional collection is strong.
Cite
@article{arxiv.2001.06500,
title = {Exceptional Collections for Mirrors of Invertible Polynomials},
author = {David Favero and Daniel Kaplan and Tyler L. Kelly},
journal= {arXiv preprint arXiv:2001.06500},
year = {2023}
}
Comments
15 pages, minor revision, to appear in Math Z