3 papers
math.RT2025
Stability Conditions and Algebraic Hearts for Acyclic Quivers
Takumi Otani, Dongjian Wu
We study stability conditions on the derived category of a finite connected acyclic quiver. We prove that, for any stability condition on the derived category, its heart can be obt…
math.AG2025
Global dimension of the derived category of an orbifold projective line
Takumi Otani
The global dimension of a triangulated category is defined to be the infimum value of the global dimensions of stability conditions on the triangulated category. In this paper, we…
math.RT2024
Twist automorphism for a generalized root system of affine ADE type
Takumi Otani
For a generalized root system of affine ADE type, we introduce a twist automorphism. We prove that the Dubrovin-Zhang extended affine Weyl group is isomorphic to our (modified) ext…