Matrix factorizations of generic polynomials
Commutative Algebra
2022-09-28 v6 Algebraic Geometry
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.
Cite
@article{arxiv.2112.08864,
title = {Matrix factorizations of generic polynomials},
author = {Daniel Erman},
journal= {arXiv preprint arXiv:2112.08864},
year = {2022}
}
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