On complete monomial ideals

Philippe Gimenez; Aron Simis; Wolmer V. Vasconcelos; Rafael H. Villarreal

doi:10.1216/JCA-2016-8-2-207

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Home > Journals > J. Commut. Algebra > Volume 8 > Issue 2 > Article

2016 On complete monomial ideals

Philippe Gimenez, Aron Simis, Wolmer V. Vasconcelos, Rafael H. Villarreal

J. Commut. Algebra 8(2): 207-226 (2016). DOI: 10.1216/JCA-2016-8-2-207

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Abstract

In dimension 2, we study complete monomial ideals combinatorially, their Rees algebras and develop effective means of finding their defining equations.

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Philippe Gimenez. Aron Simis. Wolmer V. Vasconcelos. Rafael H. Villarreal. "On complete monomial ideals." J. Commut. Algebra 8 (2) 207 - 226, 2016. https://doi.org/10.1216/JCA-2016-8-2-207

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Published: 2016

First available in Project Euclid: 10 June 2016

zbMATH: 1353.13006

MathSciNet: MR3510918

Digital Object Identifier: 10.1216/JCA-2016-8-2-207

Subjects:

Primary: 13B22

Secondary: 13A30 , 13H10

Keywords: $\m $-full ideal , Cohen-Macaulay ring , Hilbert function , Jacobian dual , Newton polytope , normal ideal , Rees algebra

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Philippe Gimenez, Aron Simis, Wolmer V. Vasconcelos, Rafael H. Villarreal "On complete monomial ideals," Journal of Commutative Algebra, J. Commut. Algebra 8(2), 207-226, (2016)

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