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math.AG2026
Intrinsic Non-Reductive Geometric Invariant Theory and Moduli Spaces of Principal Bundles with Non-Reductive Structure Groups
George Cooper, Ludvig Modin
We prove the existence of moduli spaces for algebraic stacks with a weak action of (including stacks of filtered objects and unstable -strata) f…
math.AG2023
Moduli Spaces of Hyperplanar Admissible Flags in Projective Space
George Cooper
We prove the existence of quasi-projective coarse moduli spaces parametrising certain complete flags of subschemes of a fixed projective space up to projective auto…
math.AG2022
GIT Constructions of Compactified Universal Jacobians over Stacks of Stable Maps
George Cooper
We prove that any compactified universal Jacobian over any stack of stable maps, defined using torsion-free sheaves which are Gieseker semistable with respect to a relatively ample…