Tangent cones of numerical semigroup rings

Details Tangent cones of numerical semigroup rings Tangent cones of numerical semigroup rings

2009-06-04

arxiv.org/abs/0906.0911v1

Mathematics

Commutative Algebra

Accepted for publication in: Contemporary Mathematics "Combinatorial commutative algebra and computer algebra"

Scientific paper

In this paper we describe the structure of the tangent cone of a numerical semigroup ring $A=k[[S]] \subseteq k[[t]]$ with multiplicity $e$ (as a module over the Noether normalization determined by the fiber cone of the ideal generated by $t^e$) in terms of some classical invariants of the corresponding numerical semigroup. Explicit computations are also made by using the GAP system.

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