5 papers
Stability conditions supported on Lefschetz classes
Franco Giovenzana, Antonios-Alexandros Robotis, Franco Rota +1
Recently, C. Li constructed stability conditions on the derived categories of all smooth complex projective varieties. These stability conditions satisfy the support property of Ko…
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…
A Looming of phantoms
Kimoi Kemboi, Daniel Krashen, Tianle Liu +6
Following Krah's method, we construct new examples of phantom categories as semiorthogonal components of the derived categories of two types of rational surfaces: the blowup of the…
Multiscale differentials and wonderful models
Prabhat Devkota, Antonios-Alexandros Robotis, Adrian Zahariuc
We study the relationships between several varieties parametrizing marked curves with differentials in the literature. More precisely, we prove that the space of mu…
Dimension theory of noncommutative curves
Anirban Bhaduri, Isaac Goldberg, Antonios-Alexandros Robotis
We compute several types of dimension for the bounded derived categories of coherent sheaves of orbifold curves. This completes the calculation of these dimensions for derived cate…