3 papers
math.AG2026
Gap theorems and achirality for automorphisms of K3 surfaces and Enriques surfaces
Kohei Kikuta, Yuta Takada, Taiki Takatsu
We prove gap theorems for entropy norms on automorphism groups of K3 surfaces, Enriques surfaces, and irreducible holomorphic symplectic manifolds. We also study the achirality of…
math.AG2023
Blown-up boundaries associated with ample cones of K3 surfaces
Taiki Takatsu
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…
math.AG2019
On the geometry of singular K3 surfaces with discriminant 3, 4 and 7
Taiki Takatsu
We give construction of singular K3 surfaces with discriminant 3 and 4 as double coverings over the projective plane. Focusing on the similarities in their branching loci, we can g…