Zobrazeno 1 - 10
of 54 376
pro vyhledávání: '"P. Fontaine"'
Autor:
Marquis, Nataniel
Let $\Delta$ be a finite set. We adapt the techniques of Carter-Kedlaya-Z\'abr\'adi to obtain a multivariable Fontaine equivalence which relates continuous finite dimensional $\mathbb{F}_q$-representations of $\prod_{\alpha \in \Delta} \mathcal{G}_{\
Externí odkaz:
http://arxiv.org/abs/2410.09475
Autor:
Hokaj, Christian
Let $k$ be a perfect field of characteristic $p > 2$. We extend the equivalence of categories between Fontaine-Laffaille modules and $\mathbb{Z}_p$ lattices inside crystalline representations with Hodge-Tate weights at most $p-2$ of Fontaine and Laff
Externí odkaz:
http://arxiv.org/abs/2407.21327
This article, written in Spanish, provides a comprehensive review of the Fargues-Fontaine curve, a cornerstone in $p$-adic Hodge theory, and its pivotal role in classifying $p$-adic Galois representations. We synthesize key developments surrounding t
Externí odkaz:
http://arxiv.org/abs/2405.13250
Autor:
Luo, Yufan
This paper studies the Unramified Fontaine-Mazur Conjecture for $ p $-adic Galois representations and its generalizations. We prove some basic cases of the conjecture and provide some useful criterions for verifying it. In addition, we propose severa
Externí odkaz:
http://arxiv.org/abs/2404.18967
In this paper, we apply the theory of Bridgeland stability conditions, which was originated from string theory, to study the derived category of coherent sheaves on Fargues--Fontaine curves. This leads us to consider the quasi-coherent sheaves $\math
Externí odkaz:
http://arxiv.org/abs/2404.04551
Let $k$ be a perfect field of characteristic $p$ and $W(k)$ its ring of Witt vectors. We construct an equivalence of categories between the full subcategory of the derived category of quasi-coherent sheaves on the syntomification of $W(k)$ spanned by
Externí odkaz:
http://arxiv.org/abs/2402.17755
Autor:
Louis-Patrick Bergot
Publikováno v:
Relief: Revue Électronique de Littérature Francaise, Vol 18, Iss 1 (2024)
Dans le cadre de cet article, nous voudrions démontrer qu’il est possible de renouveler l’enseignement des Fables grâce à une étude écopoétique, qui permettrait d’aborder autrement, par le prisme d’une langue et d’une pensée ancienne
Externí odkaz:
https://doaj.org/article/b83fdf508b8b48a7814ea992c0d9b429
Autor:
Jiang, Yuanyang
Inspired by [Pan22], we give a new proof that for an overconvergent modular eigenform $f$ of weight $1+k$ with $k\in\mathbb{Z}_{\ge1}$, assuming that its associated global Galois representation $\rho_{f}$ is irreducible, then $f$ is classical if and
Externí odkaz:
http://arxiv.org/abs/2310.14243
Autor:
Wu, Ju-Feng
We prove a comparison theorem between Greenberg--Benois $\mathcal{L}$-invariants and Fontaine--Mazur $\mathcal{L}$-invariants. Such a comparison theorem supplies an affirmative answer to a speculation of Besser--de Shalit.
Externí odkaz:
http://arxiv.org/abs/2310.11098
In this note, we aim to extend the concepts of the Fontaine-Faltings module and Higgs-de Rham flow to parabolic versions. The crucial aspect of our generalization lies in the construction of parabolic inverse Cartier functors. The twisted versions di
Externí odkaz:
http://arxiv.org/abs/2309.10449