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We have decided to discontinue the publication of preprints on our preprint server as of 1 March 2024. The publication culture within mathematics has changed so much due to the rise of repositories such as ArXiV (www.arxiv.org) that we are encouraging all institute members to make their preprints available there. An institute's repository in its previous form is, therefore, unnecessary. The preprints published to date will remain available here, but we will not add any new preprints here.

MiS Preprint
10/2011

A combinatorial proof of the Eisenbud-Goto conjecture for monomial curves and some simplicial semigroup rings

Max Joachim Nitsche

Abstract

We will give a pure combinatorial proof of the Eisenbud-Goto conjecture for arbitrary monomial curves. In addition to this, we show that the conjecture holds for certain simplicial affine semigroup rings.

Received:
Mar 28, 2011
Published:
Mar 28, 2011
MSC Codes:
13D45
Keywords:
Castelnuovo-Mumford regularity, Eisenbud-Goto conjecture, monomial curves, simplicial affine semigroup rings

Related publications

inJournal
2014 Repository Open Access
Max Joachim Bernd Nitsche

A combinatorial proof of the Eisenbud-Goto conjecture for monomial curves and some simplicial semigroup rings

In: Journal of algebra, 397 (2014), pp. 47-67