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

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

2011-10-03

arxiv.org/abs/1110.0423v2

Mathematics

Commutative Algebra

Minor revisions

Scientific paper

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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