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math.AG2026
Murphy's law in non-abelian Hodge theory
Gregorio Baldi, Yeuk Hay Joshua Lam
We construct explicit examples of non-integral variations of -Hodge structures. Our approach leverages Fenchel--Nielsen-type parameterizations, due to Kabaya and Maskit…
math.AG2026
p-Curvature and Non-Abelian Cohomology
Yeuk Hay Joshua Lam, Daniel Litt
Let be a smooth projective morphism. Katz proved the Grothendieck-Katz -curvature conjecture for the Gauss-Manin connection on the -th cohomology of : if its $p…