Cohen-Macaulayness versus the vanishing of the first Hilbert coefficient of parameter ideals

• Autores: Laura Ghezzi, Shiro Goto, J. Hong, Kazuho Ozeki, Tran Thi Phuong, Wolmer V. Vasconcelos
• Localización: Journal of the London Mathematical Society, ISSN 0024-6107, Vol. 81, Nº 3, 2010, págs. 679-695
• Idioma: inglés
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• Resumen

  • The conjecture of Wolmer Vasconcelos on the vanishing of the first Hilbert coefficient e1(Q) is solved affirmatively, where Q is a parameter ideal in a Noetherian local ring. Basic properties of the rings for which e1(Q) vanishes are derived. The invariance of e1(Q) for parameter ideals Q and its relationship to Buchsbaum rings are studied.