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An improved multiplicity conjecture for codimension 3 Gorenstein algebras
KTH, School of Engineering Sciences (SCI), Mathematics (Dept.), Mathematics (Div.).
2008 (English)In: Communications in Algebra, ISSN 0092-7872, E-ISSN 1532-4125, Vol. 36, no 1, 112-119 p.Article in journal (Refereed) Published
Abstract [en]

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 in the Gorenstein case.

Place, publisher, year, edition, pages
2008. Vol. 36, no 1, 112-119 p.
Keyword [en]
Betti numbers, Gorenstein algebras, Hilbert functions, level algebras, minimal free resolution, multiplicity conjecture
National Category
Mathematics
Identifiers
URN: urn:nbn:se:kth:diva-36343DOI: 10.1080/00927870701665214ISI: 000252928600012Scopus ID: 2-s2.0-38649105531OAI: oai:DiVA.org:kth-36343DiVA: diva2:430619
Note
QC 20110711Available from: 2011-07-11 Created: 2011-07-11 Last updated: 2017-12-11Bibliographically approved

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