The stratification by automorphism groups of smooth plane sextic curves
We obtain the list of automorphism groups for smooth plane sextic curves over an algebraically closed field K of characteristic p=0 or p>21. Moreover, we assign to each group a geometrically complete family overK that describe the corresponding stratum, that is, a generic polynomial equation with pa...
| Autores: | ; |
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| Tipo de documento: | Artigo |
| Data de publicação: | 2025 |
| País: | España |
| Recursos: | Varias* (Consorci de Biblioteques Universitáries de Catalunya, Centre de Serveis Científics i Acadèmics de Catalunya) |
| Repositório: | Recercat. Dipósit de la Recerca de Catalunya |
| OAI Identifier: | oai:recercat.cat:2072/482438 |
| Acesso em linha: | http://hdl.handle.net/2072/482438 |
| Nível de acesso: | Acesso aberto |
| Palavra-chave: | Plane curves Automorphism groups K3 surfaces 51 |
| Resumo: | We obtain the list of automorphism groups for smooth plane sextic curves over an algebraically closed field K of characteristic p=0 or p>21. Moreover, we assign to each group a geometrically complete family overK that describe the corresponding stratum, that is, a generic polynomial equation with parameters such that any curve in the stratum is K-isomorphic to a smooth plane model obtained by specializing the values of those parameters in K. Additionally, we explore the connection with K3 surfaces of degree 2. |
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