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

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5 papers · 1 filter

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.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.AG2019

Prismatic Dieudonné theory