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arxiv: 1608.07100 · v3 · pith:RC3FWNCWnew · submitted 2016-08-25 · 🧮 math.AC · math.AG

Equations defining tangent cones of Gorenstein monomial curves

classification 🧮 math.AC math.AG
keywords tangentconegorensteinmonomialaffineattentioncasecohen-macaulay
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Let $C$ be a Gorenstein non complete intersection monomial curve in the 4-dimensional affine space. In this paper we study the minimal number of generators of the tangent cone of $C$. Special attention will be paid to the case where $C$ has Cohen-Macaulay tangent cone at the origin.

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