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arXiv · 2001.06500

Exceptional Collections for Mirrors of Invertible Polynomials

David Favero·Daniel Kaplan·Tyler L. Kelly
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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.

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David Favero, Daniel Kaplan, Tyler L. Kelly. 2020-01-17. Exceptional Collections for Mirrors of Invertible Polynomials. https://arxiv.org/abs/2001.06500

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