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Preprint Aug 2026

Murphy's law in non-abelian Hodge theory

We construct explicit examples of non-integral variations of $\mathbb{Q}$-Hodge structures. Our approach leverages Fenchel--Nielsen-type parameterizations, due to Kabaya and Maskit, of the Teichm\"uller component of relative character varieties. Additionally, we discuss various Diophantine results concerning the $\math...

G. Baldi, Y. Lam · 1 citation · ⚡1

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