The miniversal deformation of certain complete intersection monomial curves
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2023
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| _version_ | 1866909241310183424 |
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| author | Almirón, Patricio Moyano-Fernández, Julio José |
| author_facet | Almirón, Patricio Moyano-Fernández, Julio José |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2310_20394 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | The miniversal deformation of certain complete intersection monomial curves Almirón, Patricio Moyano-Fernández, Julio José Algebraic Geometry Commutative Algebra Combinatorics 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. |
| title | The miniversal deformation of certain complete intersection monomial curves |
| topic | Algebraic Geometry Commutative Algebra Combinatorics |
| url | https://arxiv.org/abs/2310.20394 |