32 citations · 104 across the 12 of their papers we have counts for
12 papers · 1 filter
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…
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…
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…
Thurston compactifications of spaces of stability conditions on curves
Kohei Kikuta, Naoki Koseki, Genki Ouchi
In this paper, we construct a compactification of the space of Bridgeland stability conditions on a smooth projective curve, as an analogue of Thurston compactifications in Teichmü…
Spherical twists, relations and the center of autoequivalence groups of K3 surfaces
Federico Barbacovi, Kohei Kikuta
Homological mirror symmetry predicts that there is a relation between autoequivalence groups of derived categories of coherent sheaves on Calabi-Yau varieties, and the symplectic m…
Spherical twists and the center of autoequivalence groups of K3 surfaces
Kohei Kikuta
Homological mirror symmetry predicts that there is a relation between autoequivalence groups of derived categories of coherent sheaves on Calabi-Yau varieties, and the symplectic m…
Hochschild entropy and Categorical entropy
Kohei Kikuta, Genki Ouchi
We study the categorical entropy and counterexamples to Gromov-Yomdin type conjecture via homological mirror symmetry of K3 surfaces established by Sheridan-Smith. We introduce asy…
Serre dimension and stability conditions
Kohei Kikuta, Genki Ouchi, Atsushi Takahashi
We study relations between the Serre dimension defined as the growth of entropy of the Serre functor and the global dimension of Bridgeland stability conditions due to Ikeda-Qiu. A…
Curvature of the space of stability conditions
Kohei Kikuta
Motivated by the study of the autoequivalence group of triangulated categories via isometric actions on metric spaces, we consider curvature properties (CAT(0), Gromov hyperbolic)…
A note on entropy of auto-equivalences: lower bound and the case of orbifold projective lines
Kohei Kikuta, Yuuki Shiraishi, Atsushi Takahashi
Entropy of categorical dynamics is defined by Dmitrov-Haiden-Katzarkov-Kontsevich. Motivated by the fundamental theorem of the topological entropy due to Gromov-Yomdin, it is natur…
On entropy for autoequivalences of the derived category of curves
Kohei Kikuta
To an exact endofunctor of a triangulated category with a split-generator, the notion of entropy is given by Dimitrov-Haiden-Katzarkov-Kontsevich, which is a (possibly negative inf…
On the categorical entropy and the topological entropy
Kohei Kikuta, Atsushi Takahashi
To an exact endofunctor of a triangulated category with a split-generator, the notion of entropy is given by Dimitrov-Haiden-Katzarkov-Kontsevich, which is a (possibly negative inf…