A. Le Bras

activity

20152023

most citedEspaces de Banach-Colmez et faisceaux cohérents sur la courbe de Fargues-Fontaine

21 citations · 39 across the 8 of their papers we have counts for

collaborators

9 papers

math.AG2023

The small $p$ -adic Simpson correspondence in terms of moduli spaces

Johannes Anschütz, Ben Heuer, Arthur-César Le Bras

For any rigid space over a perfectoid extension of $Q_{p}$ that admits a liftable smooth formal model, we construct an isomorphism between the moduli stacks of Hitchin-small…

math.AG2023★ 1 cited

Hodge-Tate stacks and non-abelian $p$ -adic Hodge theory of v-perfect complexes on rigid spaces

Johannes Anschütz, Ben Heuer, Arthur-César Le Bras

Let $X$ be a quasi-compact quasi-separated $p$ -adic formal scheme that is smooth either over a perfectoid $Z_{p}$ -algebra or over some ring of integers of a $p$ -adic field.…

math.NT2022★ 1 cited

v-vector bundles on $p$ -adic fields and Sen theory via the Hodge-Tate stack

Johannes Anschütz, Ben Heuer, Arthur-César Le Bras

We describe the category of continuous semilinear representations and their cohomology for the Galois group of a $p$ -adic field $K$ with coefficients in a completed algebraic closu…

math.AG2021★ 2 cited

A Fourier Transform for Banach-Colmez spaces

Johannes Anschütz, Arthur-César Le Bras

We define and study an $ℓ$ -adic Fourier transform for a relative version of Banach-Colmez spaces (over a perfectoid space which is not necessarily a geometric point), which can…

math.AG2021★ 1 cited

The de Rham-Fargues-Fontaine cohomology

Arthur-César Le Bras, Alberto Vezzani

We show how to attach to any rigid analytic variety $V$ over a perfectoid space $P$ a rigid analytic motive over the Fargues-Fontaine curve $X (P)$ functorially in $V$ and…

math.KT2019★ 10 cited

The $p$ -completed cyclotomic trace in degree $2$

Johannes Anschütz, Arthur-César Le Bras

We prove that for a quasi-regular semiperfectoid $Z_{p}^{cycl}$ -algebra $R$ (in the sense of Bhatt-Morrow-Scholze), the cyclotomic trace map from the $p$ -completed $K$ -t…

math.AG2019

Prismatic Dieudonné theory

Johannes Anschütz, Arthur-César Le Bras

We define, for each quasi-syntomic ring $R$ (in the sense of Bhatt-Morrow-Scholze), a category $DM^{adm} (R)$ of \textit{admissible prismatic Dieudonné crystals over $R…

math.NT2018★ 21 cited

Espaces de Banach-Colmez et faisceaux cohérents sur la courbe de Fargues-Fontaine

Arthur-César Le Bras

We give a new definition, simpler but equivalent, of the abelian category of Banach-Colmez spaces introduced by Colmez, and we explain the precise relationship with the category of…

math.NT2015★ 3 cited

Revêtements du demi-plan de Drinfeld et correspondance de Langlands p-adique

Gabriel Dospinescu, Arthur-César Le Bras

We describe the de Rham complex of the étale coverings of Drinfeld's p-adic upper half-plane for GL_2(Q_p). Conjectured by Breuil and Strauch, this description gives a geometric re…

The small p-adic Simpson correspondence in terms of moduli spaces

Hodge-Tate stacks and non-abelian p-adic Hodge theory of v-perfect complexes on rigid spaces

v-vector bundles on p-adic fields and Sen theory via the Hodge-Tate stack

A Fourier Transform for Banach-Colmez spaces

The de Rham-Fargues-Fontaine cohomology

The p-completed cyclotomic trace in degree 2

Prismatic Dieudonné theory

Espaces de Banach-Colmez et faisceaux cohérents sur la courbe de Fargues-Fontaine

Revêtements du demi-plan de Drinfeld et correspondance de Langlands p-adique

The small $p$ -adic Simpson correspondence in terms of moduli spaces

Hodge-Tate stacks and non-abelian $p$ -adic Hodge theory of v-perfect complexes on rigid spaces

v-vector bundles on $p$ -adic fields and Sen theory via the Hodge-Tate stack

The $p$ -completed cyclotomic trace in degree $2$