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...
| Authors: | ; |
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| Format: | Article |
| Publication date: | 2025 |
| Country: | España |
| Institution: | Varias* (Consorci de Biblioteques Universitáries de Catalunya, Centre de Serveis Científics i Acadèmics de Catalunya) |
| Repository: | Recercat. Dipósit de la Recerca de Catalunya |
| OAI Identifier: | oai:recercat.cat:2072/482438 |
| Online Access: | http://hdl.handle.net/2072/482438 |
| Access Level: | Open access |
| Keyword: | Plane curves Automorphism groups K3 surfaces 51 |
| Summary: | 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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