Automorphisms of a family of surfaces with p_g=q=2 and K²=7

2024/07/27 by Penegini, Matteo, Pignatelli, Roberto
#14B12 #14J10 #14J29 #Algebraic Geometry (math.AG) #FOS: Mathematics

paper · doi:10.48550/arxiv.2407.19206

Abstract

We compute the automorphism group of all the elements of a family of surfaces of general type with p_g=q=2 and K²=7, originally constructed by C. Rito. We discuss the consequences of our results towards the Mumford-Tate conjecture.

Related

• Automorphisms of Minimal Surfaces of General Type with K_S² = 1, p_g = 2
• Automorphism groups in a family of K3 surfaces
• Note on a family of surfaces with p_g=q=2 and K²=7
• Notes on automorphisms of surfaces of general type with p_g=0 and K²=7
• On Automorphism Groups of (1,2)-Surfaces