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.AG2025
Dynamical degrees of automorphisms of K3 surfaces with Picard number 2
Yuta Takada
We show that there exists an automorphism of a projective K3 surface with Picard number such that the trace of its action on the Picard lattice is . Together with a result o…
math.AG2025
Unboundedness of fixed point multiplicities on a K3 surface
Kenji Hashimoto, Yuta Takada
We exhibit automorphisms of a certain K3 surface in with an isolated fixed point at which the induced action on the stalk of t…