Ranks of matrix factorizations and sheaf cohomology
Algebraic Geometry
2025-08-19 v2 Commutative Algebra
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.
Keywords
Cite
@article{arxiv.2412.01060,
title = {Ranks of matrix factorizations and sheaf cohomology},
author = {Michael K. Brown and Mark E. Walker},
journal= {arXiv preprint arXiv:2412.01060},
year = {2025}
}