On the group of automorphisms of Horikawa surfaces
Year: 2024
Type: article
Abstract: Minimal algebraic surfaces of general type X such that K X 2 = 2 χ ( 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 = 2 χ - 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 .
Source: Comptes Rendus Mathématique
DOI: 10.5802/crmath.546
Author: Vicente Lorenzo
Institution: Universidad Carlos III de Madrid
Language: French
Subfield: Geometry and Topology
Field: Mathematics
Domain: Physical Sciences
Open Access status: diamond
Funder: Universidad Carlos III de Madrid
OpenAlex ID: W4396576891