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math.AG2026
Toward the noncommutative minimal model program for Fano varieties
Tomohiro Karube, Antonios-Alexandros Robotis, Vanja Zuliani
We study the noncommutative minimal model program, as proposed by Halpern-Leistner, for Fano varieties. We construct lifts of Iritani's quantum cohomology central charge in the fol…
math.AG2024
The noncommutative MMP for blowup surfaces
Tomohiro Karube
We study the noncommutative minimal model program for blowups of surfaces. The program, as defined by Halpern-Leistner, is designed to construct a quasiconvergent path in the space…
math.AG2023
Stability conditions on degenerated elliptic curves
Tomohiro Karube
We study stability conditions on reducible Kodaira curves obtained from degenerations of elliptic curves. We describe connected components of the spaces of stability conditions and…