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2009 Gröbner bases of simplicial toric ideals
Michael Hellus, Lê Tuân Hoa, Jürgen Stückrad
Nagoya Math. J. 196: 67-85 (2009).

Abstract

Bounds for the maximum degree of a minimal Gröbner basis of simplicial toric ideals with respect to the reverse lexicographic order are given. These bounds are close to the bound stated in Eisenbud-Goto's Conjecture on the Castelnuovo-Mumford regularity.

Citation

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Michael Hellus. Lê Tuân Hoa. Jürgen Stückrad. "Gröbner bases of simplicial toric ideals." Nagoya Math. J. 196 67 - 85, 2009.

Information

Published: 2009
First available in Project Euclid: 15 January 2010

zbMATH: 0895.16020
MathSciNet: MR2591091

Subjects:
Primary: 13P10 , 14M25

Keywords: Castelnuovo-Mumford regularity , Eisenbud-Goto's conjecture , Gröbner bases , reduction number

Rights: Copyright © 2009 Editorial Board, Nagoya Mathematical Journal

Vol.196 • 2009
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