Blown-up boundaries associated with ample cones of K3 surfaces

2023/12/21 by Takatsu, Taiki · 1 citation
#14J28 #Algebraic Geometry (math.AG) #FOS: Mathematics #Group Theory (math.GR)

paper · doi:10.48550/arxiv.2312.13831

Abstract

In this paper, we apply the Bestvina-Mess type formula for relatively hyperbolic groups, which is established by Tomohiro Fukaya, to automorphism groups of K3 surfaces, and we show that the virtual cohomological dimension of automorphism groups of K3 surfaces determined by the covering dimension of the blown-up boundaries associated with their ample cones.

Cited by

• On K3 surfaces with hyperbolic automorphism groups

Related

• On Bestvina-Mess Formula
• Automorphism groups in a family of K3 surfaces
• Algebraic hyperbolicity of very general surfaces
• The Apollonian circle packing and ample cones for K3 surfaces
• Algebraic surfaces and hyperbolic geometry