An improved Multiplicity Conjecture for codimension three Gorenstein algebras
Commutative Algebra
2008-04-10 v2
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.
Cite
@article{arxiv.math/0604485,
title = {An improved Multiplicity Conjecture for codimension three Gorenstein algebras},
author = {Juan C. Migliore and Uwe Nagel and Fabrizio Zanello},
journal= {arXiv preprint arXiv:math/0604485},
year = {2008}
}
Comments
A few minor revisions. To appear in Comm. in Algebra