A. C. Bras

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20242026

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math.AG2026

Analytic de Rham stacks of Fargues-Fontaine curves

Johannes AnschÃ¼tz, Guido Bosco, Arthur-CÃ©sar Le Bras +2

We define and initiate the study of analytic de Rham stacks of relative Fargues-Fontaine curves. To this end, we develop a theory of analytic de Rham stacks with sufficiently stron…

math.AG2025

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

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.AG2024

A 6-functor formalism for solid quasi-coherent sheaves on the Fargues-Fontaine curve

We develop a 6-functor formalism $D_{[0, \infty)} (-)$ with $Z_{p}$ -linear coefficients on small v-stacks, and discuss consequences for duality and finiteness for pr…

Analytic de Rham stacks of Fargues-Fontaine curves

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

A 6-functor formalism for solid quasi-coherent sheaves on the Fargues-Fontaine curve

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