On fake ES-irreducible components of certain strata of smooth plane sextics

In this paper, we construct the first examples of what we call fake ES-irreducible components; Definition 2.8. In our way to do so, we classify the automorphism groups of smooth plane sextics that only have automorphisms of order ≤ 3; Theorems 2.1, 2.4 and 2.5, Corollaries 2.9 and 2.11.

Detalles Bibliográficos
Autores: Badr, Eslam|||0000-0002-3960-7243, Bars Cortina, Francesc|||0000-0003-4779-3995
Tipo de recurso: artículo
Fecha de publicación:2025
País:España
Institución:Universitat Autònoma de Barcelona
Repositorio:Dipòsit Digital de Documents de la UAB
Idioma:inglés
OAI Identifier:oai:ddd.uab.cat:308877
Acceso en línea:https://ddd.uab.cat/record/308877
https://dx.doi.org/urn:doi:10.1142/s0219498825500483
Access Level:acceso abierto
Palabra clave:ES-irreducibility
Plane curves
Automorphism groups
Descripción
Sumario:In this paper, we construct the first examples of what we call fake ES-irreducible components; Definition 2.8. In our way to do so, we classify the automorphism groups of smooth plane sextics that only have automorphisms of order ≤ 3; Theorems 2.1, 2.4 and 2.5, Corollaries 2.9 and 2.11.