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

JOURNAL OF ALGEBRA

卷:397

Article

Nitsche, Max Joachim

关键词: Castelnuovo-Mumford regularity;    Eisenbud-Goto conjecture;    Monomial curves;    Simplicial affine semigroup rings;   

DOI  :  10.1016/j.jalgebra.2013.08.026

来源: Elsevier

【 摘 要 】

We will give a pure combinatorial proof of the Eisenbud-Goto conjecture for arbitrary monomial curves. Moreover, we will show that the conjecture holds for certain simplicial affine semigroup rings. (C) 2013 Elsevier Inc. All rights reserved.

【 授权许可】

Free