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

Fuente: arXiv
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Main Authors: Deninger, Christopher, Kamlesh, Deepak
Format: Preprint
Published: 2025
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author Deninger, Christopher
Kamlesh, Deepak
author_facet Deninger, Christopher
Kamlesh, Deepak
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2508_13685
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle A remark on the vanishing of Higgs fields in the $p$-adic Simpson correspondence
Deninger, Christopher
Kamlesh, Deepak
Algebraic Geometry
Number Theory
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.
title A remark on the vanishing of Higgs fields in the $p$-adic Simpson correspondence
topic Algebraic Geometry
Number Theory
url https://arxiv.org/abs/2508.13685