no. G3
Article de recherche - Géométrie algébrique
On the group of automorphisms of Horikawa surfaces
Lorenzo, Vicente1 orcid
1Telematic Engineering Department, Universidad Carlos III de Madrid, Avenida de la Universidad 30, Leganés (Madrid), Spain.
Comptes Rendus. Mathématique, Tome 362 (2024) no. G3, pp. 237-244

Minimal algebraic surfaces of general type X such that K X 2 =2χ(𝒪 X )-6 are called Horikawa surfaces. In this note the group of automorphisms of Horikawa surfaces is studied. The main result states that given an admissible pair (K 2 ,χ) such that K 2 =2χ-6, every irreducible component of Gieseker’s moduli space 𝔐 K 2 ,χ contains an open subset consisting of surfaces with group of automorphisms isomorphic to ℤ 2 .

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DOI : 10.5802/crmath.546
Classification : 14J29

Lorenzo, Vicente  1

1 Telematic Engineering Department, Universidad Carlos III de Madrid, Avenida de la Universidad 30, Leganés (Madrid), Spain.
Licence : CC-BY 4.0
Droits d'auteur : Les auteurs conservent leurs droits
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     title = {On the group of automorphisms of {Horikawa} surfaces},
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     pages = {237--244},
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Lorenzo, Vicente. On the group of automorphisms of Horikawa surfaces. Comptes Rendus. Mathématique, Tome 362 (2024) no. G3, pp. 237-244. doi: 10.5802/crmath.546

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