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Equations defining tangent cones of Gorenstein monomial curves

Published 25 Aug 2016 in math.AC and math.AG | (1608.07100v3)

Abstract: 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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