On the group of automorphisms of Horikawa surfaces

Minimal algebraic surfaces of general type $X$ such that $K^2_X=2\chi (\mathcal{O}_X)-6$ 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 $(K^2, \chi )$ such that $K^2=2\chi -6$, every irreduci...

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Bibliographic Details
Main Author: Lorenzo, Vicente
Format: Article
Language:English
Published: Académie des sciences 2024-05-01
Series:Comptes Rendus. Mathématique
Online Access:https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.546/
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