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arXiv · 2310.20394

The miniversal deformation of certain complete intersection monomial curves

Patricio Almirón·Julio José Moyano-Fernández
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Abstract

The aim of this paper is to provide an explicit basis of the miniversal deformation of a monomial curve defined by a free semigroup -- these curves make up a notable family of complete intersection monomial curves. First, we dispense a general decomposition result of a basis of the miniversal deformation of any complete intersection monomial curve. As a consequence, we explicitly calculate this basis in the particular case of a monomial curve defined from a free semigroup. This explicit computation yields some estimates for the dimension of the moduli space of these family of curves.

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Patricio Almirón, Julio José Moyano-Fernández. 2024-07-04. The miniversal deformation of certain complete intersection monomial curves. https://arxiv.org/abs/2310.20394

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