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An improved Multiplicity Conjecture for codimension three Gorenstein algebras

Research paper by Juan C. Migliore, Uwe Nagel, Fabrizio Zanello

Indexed on: 09 Jan '07Published on: 09 Jan '07Published in: Mathematics - Commutative Algebra



Abstract

The Multiplicity Conjecture is a deep problem relating the multiplicity (or degree) of a Cohen-Macaulay standard graded algebra with certain extremal graded Betti numbers in its minimal free resolution. In the case of level algebras of codimension three, Zanello has proposed a stronger conjecture. We prove this conjecture for the case of codimension three graded Gorenstein algebras.