Comptes Rendus
Number theory
A counterexample to an optimistic guess about étale local systems
Brian Lawrence1 ; Shizhang Li2
1University of California, Los Angeles, USA.
2University of Michigan, USA.
Comptes Rendus. Mathématique, Volume 359 (2021) no. 8, pp. 923-924
Received:
Accepted:
Published online:
DOI: 10.5802/crmath.229

Brian Lawrence  1 ; Shizhang Li  2

1 University of California, Los Angeles, USA.
2 University of Michigan, USA.
License: CC-BY 4.0
Copyrights: The authors retain unrestricted copyrights and publishing rights
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Brian Lawrence; Shizhang Li. A counterexample to an optimistic guess about étale local systems. Comptes Rendus. Mathématique, Volume 359 (2021) no. 8, pp. 923-924. doi: 10.5802/crmath.229

[1] Laurent Berger Représentations p-adiques et équations différentielles, Invent. Math., Volume 148 (2002) no. 2, pp. 219-284 | MR | Zbl

[2] Jean-Marc Fontaine; Yi Ouyang Theory of p-adic Galois Representations, 2008 (preprint, available at https://www.math.u-psud.fr/~fontaine/galoisrep.pdf)

[3] Ruochuan Liu; Xinwen Zhu Rigidity and a Riemann–Hilbert correspondence for p-adic local systems, Invent. Math., Volume 207 (2017) no. 1, pp. 291-343 | MR | Zbl

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