We compute syntomic cohomology of semistable affinoids in terms of cohomology of (φ, Γ)(φ, Γ)-modules which, thanks to work of Fontaine–Herr, Andreatta–Iovita, and Kedlaya …
J Pottharst - Algebra & Number Theory, 2013 - msp.org
We develop a theory of Selmer groups for analytic families of Galois representations, which are only assumed “ordinary” on the level of their underlying (φ, Γ)-modules. Our approach …
We develop the analog in equal positive characteristic of Fontaine's theory for crystalline Galois representations of a p-adic field. In particular we describe the analog of Fontaine's …
F Andreatta, A Iovita - … del Seminario Matematico della Università di …, 2012 - numdam.org
Semistable Sheaves and Comparison Isomorphisms in the Semistable Case Page 1 Rend. Sem. Mat. Univ. Padova, Vol. 128 (2012) Semistable Sheaves and Comparison Isomorphisms …
F Andreatta, A Iovita - Journal of the Institute of Mathematics of …, 2013 - cambridge.org
Let p> 0 denote a prime integer and K a complete discrete valuation field of characteristic 0 and perfect residue field k of characteristic p. This article proposes a new point of view on …
X Tong - arXiv preprint arXiv:2011.08358, 2020 - arxiv.org
In this paper, we study Frobenius structures in higher dimensional $ p $-adic analytic geometry and the corresponding $ p $-adic functional analysis. This will build up …
F Andreatta, O Brinon - Annales scientifiques de l'Ecole normale …, 2010 - numdam.org
Dans ce travail nous développons un analogue relatif de la théorie de Sen pour les B dR- représentations. On donne des applications à la théorie des représentations p-adiques, en …