3 papers
math.AG2026
Torelli theorems for moduli stacks and twisted moduli spaces of vector bundles
Soham Ghosh, Ting Gong, Max Lieblich
We prove Torelli theorems for moduli of vector bundles in two complementary settings. In the first part, over an arbitrary field, we recover the coarse curve of a smooth, proper, g…
math.AG2024
Higher-weight Jacobians
Sheela Devadas, Max Lieblich
We define and study Jacobians of Hodge structures with weight greater than 1. A complex variety has a Jacobian of weight 2 precisely when it has maximal Picard number; these weight…
math.AG2024
Murphy's Law for Algebraic Stacks
Daniel Bragg, Max Lieblich
We show that various natural algebro-geometric moduli stacks, including the stack of curves, have the property that every Deligne-Mumford gerbe over a field appears as the residual…