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math.AG2026
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…
math.AG2026
The intrinsic approach to moduli theory
Jarod Alper, Daniel Halpern-Leistner
Moduli theory has captured the imagination of algebraic geometers for at least two centuries. Up until the end of the 20th century, moduli spaces were constructed and studied by ri…
math.AG2025
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…