4 papers
Stability conditions on noncommutative crepant resolutions of 3-dimensional isolated singularities
Wahei Hara, Yuki Hirano
Let be a 3-dimensional complete local Gorenstein isolated singularity. For a basic maximal modifying -module , we construct a wall-and-chamber structure, denoted by ${\sf…
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…
Mutations of noncommutative crepant resolutions in geometric invariant theory
Wahei Hara, Yuki Hirano
Let be a generic quasi-symmetric representation of a connected reductive group . The GIT quotient stack with respect to a generic …