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

Autor:	Boij, Mats, Soderberg, Jonas
Rok vydání:	2008
Předmět:	Mathematics - Commutative Algebra Mathematics - Algebraic Geometry
Druh dokumentu:	Working Paper
Popis:	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 diagrams of modules with a pure resolution. This implies the Multiplicity Conjecture of Herzog, Huneke and Srinivasan for modules that are not necessarily Cohen-Macaulay. We give a combinatorial proof of the convexity of the simplicial fan spanned by the pure diagrams. Comment: 14 pages
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/0803.1645 Zobrazit plný text záznamu View this record from Arxiv