3 papers
math.AG2026
Geometrical finiteness for automorphism groups via cone conjecture
Kohei Kikuta
This paper aims to establish the geometrical finiteness for the natural isometric actions of (birational) automorphism groups on the hyperbolic spaces for K3 surfaces, Enriques sur…
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.AG2025
Stability conditions on K3 surfaces via mass of spherical objects
Kohei Kikuta, Naoki Koseki, Genki Ouchi
We prove that a stability condition on a K3 surface is determined by the masses of spherical objects up to a natural -action. This is motivated by the result of Huybrec…