11 papers
Degenerate complex structures on surfaces and stability conditions
Antonios-Alexandros Robotis, Nicolás Vilches
Physical heuristics suggest that the space of Bridgeland stability conditions of a projective Calabi-Yau manifold should be related to the moduli space of complex structures on…
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…
Properties of deformed mass and phase functions
Daniel Halpern-Leistner, Antonios-Alexandros Robotis
We establish basic properties of the deformed mass and phase functions on the space of stability conditions. We prove that these functions are continuous and deduce that the space…
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…
The Space of augmented stability conditions
Daniel Halpern-Leistner, Antonios-Alexandros Robotis
Given a triangulated category , we construct a partial compactification, denoted , of the quotient of its stability manifold by…
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…
Spaces of multiscaled lines with collision
Antonios-Alexandros Robotis
We study varieties arising as equivariant compactifications of the space of points in up to overall translation. We define and exam…
Quasi-convergence of stability conditions
Daniel Halpern-Leistner, Jeffrey Jiang, Antonios-Alexandros Robotis
We develop a framework relating semiorthogonal decompositions of a triangulated category to paths in its space of stability conditions. We prove that when $\mathcal{C…
Admissible subcategories of noncommutative curves
Antonios-Alexandros Robotis
We study admissible subcategories of the derived categories of smooth noncommutative (nc) curves as classified by Reiten-van den Bergh. We prove that any admissible subcategory of…