A remark on the vanishing of Higgs fields in the p-adic Simpson correspondence
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.
Fields of Study & Subjects
advanced mathematical theories
Advanced Algebra and Geometry
Algebraic Geometry and Number Theory
Publication details
- Journal / source
- Tunisian Journal of Mathematics
- Volume
- 8
- Issue
- 4
- Pages
- 723–728
- Publication date
- 10 September 2026
- Language
- EN