2026-05-05T20:19:36Zhttps://uvadoc.uva.es/oai/request

oai:uvadoc.uva.es:10324/824892026-02-03T20:00:28Zcom_10324_1129com_10324_931com_10324_894col_10324_1193

The miniversal deformation of certain complete intersection monomial curves Almirón, Patricio Moyano Fernández, Julio José Geometría algebraica Curvas monomiales Teoría de deformaciones Curvas monomiales Intersección completa Teoría de deformación Espacio de moduli Singularidades de curvas 1201 Álgebra 1202 Análisis y Análisis Funcional 1204 Geometría Producción Científica 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 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 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 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 C. Ministerio de Ciencia e Innovación (MCIN) / Agencia Estatal de Investigación (AEI): PID2022-138906NB-C22 (MCIN/AEI/10.13039/501100011033 / FEDER, EU) Ministerio de Ciencia, Innovación y Universidades (MICIU) / Agencia Estatal de Investigación (AEI): PID2020-114750GB-C32 (MICIU/AEI/10.13039/501100011033) Ministerio de Ciencia, Innovación y Universidades (MICIU) / Agencia Estatal de Investigación (AEI): contrato posdoctoral Ramón y Cajal de Patricio Almirón Cuadros (RYC2021-034300-I) Universitat Jaume I: UJI-B2021-02, GACUJIMA/2023/06 y GACUJIMB/2023/03 Open access funding provided by FEDER European Funds and the Junta de Castilla y León under the Research and Innovation Strategy for Smart Specialization (RIS3) of Castilla y León 2021-2027. 2026-02-03T13:46:35Z 2026-02-03T13:46:35Z 2026 info:eu-repo/semantics/article info:eu-repo/semantics/publishedVersion Revista Matemática Complutense, 2026, vol. 39, n. 1. 1139-1138 https://uvadoc.uva.es/handle/10324/82489 10.1007/s13163-025-00560-6 1 Revista Matemática Complutense 39 1988-2807 eng https://link.springer.com/article/10.1007/s13163-025-00560-6 Atribución 4.0 Internacional info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/4.0/ © 2026 The Author(s) application/pdf https://uvadoc.uva.es/bitstream/10324/82489/4/The-miniversal-deformation-of-certain-complete.pdf.jpg Hispana TEXT http://creativecommons.org/licenses/by/4.0/ UVaDOC. Repositorio Documental de la Universidad de Valladolid https://uvadoc.uva.es/handle/10324/82489