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.
| Authors: | , |
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| Format: | article |
| Publication Date: | 2025 |
| Country: | España |
| Institution: | Universitat Autònoma de Barcelona |
| Repository: | Dipòsit Digital de Documents de la UAB |
| Language: | English |
| OAI Identifier: | oai:ddd.uab.cat:308877 |
| Online Access: | https://ddd.uab.cat/record/308877 https://dx.doi.org/urn:doi:10.1142/s0219498825500483 |
| Access Level: | Open access |
| Keyword: | ES-irreducibility Plane curves Automorphism groups |
| Summary: | 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. |
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