3 papers
math.AG2025
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…
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…
math.AG2024
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…