arXiv Open Access 2025

Une conjecture $C_{\rm st}$ pour la cohomologie à support compact

Pierre Colmez Sally Gilles Wiesława Nizioł

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Abstrak

Let $\mathbf{B}$ be the ring of analytic functions on the Fargues-Fontaine curve $Y_{\rm FF}$. We show that adding $p$-adic analogs of $\log p$ and $\log 2πi$ kills its Galois cohomology in degrees~$\geq 1$. The analogous result for $\mathbf{B}^+_{\rm dR}$ is folklore. This makes it possible to formulate $C_{\rm dR}$ and $C_{\rm st}$-type conjectures for compact support cohomology of $p$-adic analytic varieties.

Topik & Kata Kunci

math.AG math.NT

Penulis (3)

Pierre Colmez

Sally Gilles

Wiesława Nizioł

Format Sitasi

APA MLA BibTeX

Colmez, P., Gilles, S., Nizioł, W. (2025). Une conjecture $C_{\rm st}$ pour la cohomologie à support compact. https://arxiv.org/abs/2511.14675

Akses Cepat

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Informasi Jurnal

Tahun Terbit: 2025
Bahasa: en
Sumber Database: arXiv
Akses: Open Access ✓