A combinatorial proof of the Eisenbud-Goto conjecture for monomial curves and some simplicial semigroup rings
Max Joachim Nitsche
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Submission date: 28. Mar. 2011
published in: Journal of algebra, 397 (2014), p. 47-67
DOI number (of the published article): 10.1016/j.jalgebra.2013.08.026
Keywords and phrases: Castelnuovo-Mumford regularity, Eisenbud-Goto conjecture, monomial curves, simplicial affine semigroup rings
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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.