On the group of automorphisms of Horikawa surfaces
Minimal algebraic surfaces of general type $X$ such that $K^2_X=2χ(\mathcal{O}_X)-6$ 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 $(K^2, χ)$ such that $K^2=2χ-6$, every irreducible component of Gieseker's moduli space $\mathfrak{M}_{K^2,χ}$ contains an open subset consisting of surfaces with group of automorphisms isomorphic to $\mathbb{Z}_2$.
math.AG↗