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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.AC2007
Reducible family of height three level algebras
Mats Boij, Anthony Iarrobino
Let be the polynomial ring in variables over an infinite field , and let be the maximal ideal of . Here a \emph{level algebra} will be a graded Ar…