The miniversal deformation of certain complete intersection monomial curves
Abstract
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 $$\mathscr {C}$$ C of complete intersection monomial curves. First, we dispense a general decomposition result of a basis B of the miniversal deformation of any complete intersection monomial curve. As a consequence, we explicitly calculate B in the particular case of a monomial curve defined from a free semigroup. This direct computation yields some estimates for the dimension of the moduli space of the family $$\mathscr {C}$$ C .
Fields of Study & Subjects
Commutative Algebra and Its Applications
Algebraic Geometry and Number Theory
Polynomial and algebraic computation
Publication details
- Journal / source
- Revista Matemática Complutense
- Volume
- 39
- Issue
- 3
- Pages
- 879–910
- Publication date
- 29 January 2026
- Language
- EN