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2007 Contracted ideals and the Gröbner fan of the rational normal curve
Aldo Conca, Emanuela De Negri, Maria Evelina Rossi
Algebra Number Theory 1(3): 239-268 (2007). DOI: 10.2140/ant.2007.1.239

Abstract

The paper has two goals: the study of the associated graded ring of contracted homogeneous ideals in K[x,y] and the study of the Gröbner fan of the ideal P of the rational normal curve in d. These two problems are, quite surprisingly, very tightly related. We completely classify the contracted ideals with Cohen–Macaulay associated graded ring in terms of the numerical invariants arising from Zariski’s factorization. We determine explicitly the initial ideals (monomial or not) of P, that are Cohen–Macaulay.

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Aldo Conca. Emanuela De Negri. Maria Evelina Rossi. "Contracted ideals and the Gröbner fan of the rational normal curve." Algebra Number Theory 1 (3) 239 - 268, 2007. https://doi.org/10.2140/ant.2007.1.239

Information

Received: 1 February 2007; Revised: 27 August 2007; Accepted: 29 September 2007; Published: 2007
First available in Project Euclid: 20 December 2017

zbMATH: 1163.13002
MathSciNet: MR2361934
Digital Object Identifier: 10.2140/ant.2007.1.239

Subjects:
Primary: 13A30
Secondary: 13D40, 13P10

Rights: Copyright © 2007 Mathematical Sciences Publishers

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Vol.1 • No. 3 • 2007
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