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

Abstract

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.

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References in corpus (2)

• Decomposition of semigroup algebras
• Bounding the degrees of generators of a homogeneous dimension 2 toric ideal