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

By L. Ghezzi, S. Goto, Jooyoun Hong, K. Ozeki, T. Phuong, W. Vasconcelos. 2010

49 citations recorded by the source corpus.

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.

Subfields: Algebra and Number Theory, Geometry and Topology, Pharmacology

View Paper: https://www.semanticscholar.org/paper/2290a70cfbd40ef5172dc5b0be78d3eed165fba1

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In Algebra and Number Theory

1. G. Valla
2. M. Rossi

In Geometry and Topology

1. M. Rossi
2. G. Valla

In Pharmacology

1. M. Rossi
2. G. Valla

Citations in the corpus

• Hilbert Functions of Filtered Modules (2007, background): “Interesting results concerning this problem have been recently proved in [26] and in [27].”