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math.AG2026
Torelli Theorem for moduli stacks of vector bundles on tame Deligne Mumford curves
Soham Ghosh, Ting Gong, Max Lieblich
We prove a Torelli theorem for full moduli stacks of vector bundles of rank at least three with fixed determinant on a smooth, proper, geometrically connected, tame Deligne--Mumfor…
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…