Multiplicity Bounds for Quadratic Monomial Ideals
نویسنده
چکیده
We prove the multiplicity bounds conjectured by Herzog-HunekeSrinivasan and Herzog-Srinivasan in the following cases: the strong conjecture for edge ideals of forests, and the weaker Taylor bound conjecture for all quadratic monomial ideals. We determine when equality holds in the conjectured bound, and verify that when equality holds, the resolution is pure. We characterize forests that have Cohen-Macaulay edge ideals and quasi-pure resolutions.
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