The miniversal deformation of certain complete intersection monomial curves
Algebraic Geometry
2024-07-08 v2 Commutative Algebra
Combinatorics
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.
Keywords
Cite
@article{arxiv.2310.20394,
title = {The miniversal deformation of certain complete intersection monomial curves},
author = {Patricio Almirón and Julio José Moyano-Fernández},
journal= {arXiv preprint arXiv:2310.20394},
year = {2024}
}
Comments
v2: 30 pages, minor typos fixed; v1: 29 pages, comments are very welcome