5 citations · 7 across the 3 of their papers we have counts for
6 papers
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…
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…
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…