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arXiv · 2412.01060

Ranks of matrix factorizations and sheaf cohomology

Michael K. Brown·Mark E. Walker
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Abstract

Buchweitz-Greuel-Schreyer conjectured in 1987 a lower bound on the ranks of matrix factorizations over certain local hypersurface rings. We study a graded version of this conjecture, and we show that it implies a novel conjecture concerning the cohomology of sheaves over non-Fano projective hypersurfaces.

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Michael K. Brown, Mark E. Walker. 2024-12-02. Ranks of matrix factorizations and sheaf cohomology. https://arxiv.org/abs/2412.01060

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