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Ranks of matrix factorizations and sheaf cohomology

math.AG · 2024-12-02 · conditional · novelty 6.0

A graded Buchweitz-Greuel-Schreyer rank conjecture is shown equivalent to a new sheaf-cohomology lower bound on non-Fano hypersurfaces, with a new exact Betti-number-to-cohomology formula as the bridge.

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  • Ranks of matrix factorizations and sheaf cohomology math.AG · 2024-12-02 · conditional · none · ref 7

    A graded Buchweitz-Greuel-Schreyer rank conjecture is shown equivalent to a new sheaf-cohomology lower bound on non-Fano hypersurfaces, with a new exact Betti-number-to-cohomology formula as the bridge.