26 citations · 53 across the 15 of their papers we have counts for
15 papers
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…
Fourier-Mukai loci of K3 surfaces of Picard number one
Yuki Hirano, Genki Ouchi
In this paper, we describe the Fourier-Mukai locus of the derived category of a complex algebraic K3 surface of Picard number one. We also prove that the Fourier-Mukai locus of the…
Length of triangulated categories
Yuki Hirano, Martin Kalck, Genki Ouchi
We introduce the notion of composition series of triangulated categories, which generalizes full exceptional sequences. The lengths of composition series yield invariants for trian…
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…
Perverse schobers and Orlov equivalences
Naoki Koseki, Genki Ouchi
A perverse schober is a categorification of a perverse sheaf proposed by Kapranov--Schechtman. In this paper, we construct examples of perverse schobers on the Riemann sphere, whic…
Prime thick subcategories on elliptic curves
Yuki Hirano, Genki Ouchi
We classify all prime thick subcategories in the derived category of coherent sheaves on elliptic curves, and determine the Serre invariant locus of Matsui spectrum of derived cate…
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…
Categorical polynomial entropy
Yu-Wei Fan, Lie Fu, Genki Ouchi
For classical dynamical systems, the polynomial entropy serves as a refined invariant of the topological entropy. In the setting of categorical dynamical systems, that is, triangul…
Automorphism groups of cubic fourfolds and K3 categories
Genki Ouchi
In this paper, we study relations between automorphism groups of cubic fourfolds and Kuznetsov components. Firstly, we characterize automorphism groups of cubic fourfolds as subgro…
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…
Derived factorization categories of non-Thom--Sebastiani-type sums of potentials
Yuki Hirano, Genki Ouchi
We first prove semi-orthogonal decompositions of derived factorization categories arising from sums of potentials of gauged Landau-Ginzburg models, where the sums are not necessari…
Hilbert schemes of two points on K3 surfaces and certain rational cubic fourfolds
Genki Ouchi
In this paper, we check that Fano schemes of lines on certain rational cubic fourfolds are birational to Hilbert schemes of two points on K3 surfaces.
On entropy of spherical twists
Genki Ouchi
In this paper, we compute categorical entropy of spherical twists. In particular, we prove that Gromov-Yomdin type conjecture holds for spherical twists. Moreover, we construct cou…
Automorphisms of positive entropy on some hyperKahler manifolds via derived automorphisms of K3 surfaces
Genki Ouchi
We construct examples of hyperKahler manifolds of Picard number two with automorphisms of positive entropy via derived automorphisms of K3 surfaces of Picard number one. Our hyperK…
Lagrangian embeddings of cubic fourfolds containing a plane
Genki Ouchi
We prove that a very general cubic fourfold containing a plane can be embedded into a holomorphic symplectic eightfold as a Lagrangian submanifold. We construct the desired holomor…