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Gröbner Bases of Simplicial Toric Ideals

Published online by Cambridge University Press:  11 January 2016

Michael Hellus ,
Lê Tûan Hoa  and
Jürgen Stückrad
Michael Hellus
Affiliation:
Universitä Regensburg, D-93040 Regensburg, Germany, michael.hellus@mathematik.uni-regensburg.de
Lê Tûan Hoa
Affiliation:
Institute of Mathematics Hanoi, 18 Hoang Quoc Viet Road 10307 Hanoi, Vietnam, lthoa@math.ac.vn
Jürgen Stückrad
Affiliation:
Universitä Leipzig Fakultä für Mathematik und Informatik, Augustusplatz 10/11 D-04109 Leipzig, Germany, stueckrad@math.uni-leipzig.de
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Abstract

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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.

Keywords

13P1014M25
Type
Research Article
Information
Nagoya Mathematical Journal , Volume 196 , 2009 , pp. 67 - 85
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 2009

References

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