A remark on the vanishing of Higgs fields in the $p$-adic Simpson correspondence

Christopher Deninger; Deepak Kamlesh

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arXiv · 2508.13685

A remark on the vanishing of Higgs fields in the $p$-adic Simpson correspondence

Christopher Deninger·Deepak Kamlesh

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Abstract

We give a condition on a $p$-adic representation of the fundamental group of a curve over $\overline{\mathbb{Q}}_p$ which ensures that under the $p$-adic Simpson correspondence the Higgs field vanishes.

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Christopher Deninger, Deepak Kamlesh. 2025-08-19. A remark on the vanishing of Higgs fields in the $p$-adic Simpson correspondence. https://arxiv.org/abs/2508.13685

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