most citedBetti numbers of graded modules and the Multiplicity Conjecture in the non-Cohen-Macaulay case

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math.AC2008★ 23 cited

Betti numbers of graded modules and the Multiplicity Conjecture in the non-Cohen-Macaulay case

Mats Boij, Jonas Soderberg

We use the results by Eisenbud and Schreyer to prove that any Betti diagram of a graded module over a standard graded polynomial ring is a positive linear combination Betti diagram…

math.AC2006

Graded Betti numbers and -vectors of level modules

Jonas Söderberg

We study -vectors and graded Betti numbers of level modules up to multiplication by a rational number. Assuming a conjecture on the possible graded Betti numbers of Cohen-Macaul…