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arXiv · 2112.08864

Matrix factorizations of generic polynomials

Daniel Erman
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Abstract

We prove that the Buchweitz-Greuel-Schreyer Conjecture on the minimal rank of a matrix factorization holds for a generic polynomial of given degree and strength. The proof introduces a notion of the secondary strength of a polynomial, and uses a variant of the ultraproduct technique of Erman, Sam, and Snowden.

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Daniel Erman. 2022-09-26. Matrix factorizations of generic polynomials. https://arxiv.org/abs/2112.08864

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