Comptes Rendus
Article de recherche - Géométrie algébrique
On the group of automorphisms of Horikawa surfaces
Vicente Lorenzo1
1 Telematic Engineering Department, Universidad Carlos III de Madrid, Avenida de la Universidad 30, Leganés (Madrid), Spain.
Comptes Rendus. Mathématique, Volume 362 (2024), 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
Vicente Lorenzo 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},
     journal = {Comptes Rendus. Math\'ematique},
     pages = {237--244},
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     volume = {362},
     year = {2024},
     doi = {10.5802/crmath.546},
     language = {en},
}
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Vicente Lorenzo. On the group of automorphisms of Horikawa surfaces. Comptes Rendus. Mathématique, Volume 362 (2024), pp. 237-244. doi : 10.5802/crmath.546. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.546/

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