Guido Bosco

activity

20212025

p

-adic Hodge theory for rigid-analytic varieties

2 citations · 3 across the 4 of their papers we have counts for

collaborators

4 papers

math.AG2025

Analytic de Rham stacks of Fargues-Fontaine curves

Johannes Anschütz, Guido Bosco, Arthur-César 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.AG2024

Torsion in $p$ -adic étale cohomology: remarks and conjectures

Guido Bosco

Let $C$ be a complete algebraically closed extension of $Q_{p}$ , and let $X$ be a smooth formal scheme over $O_{C}$ . By the work of Bhatt--Morrow--Scholze…

math.AG2023★ 2 cited

Rational $p$ -adic Hodge theory for rigid-analytic varieties

Guido Bosco

We study a cohomology theory for rigid-analytic varieties over $C_{p}$ , without properness or smoothness assumptions, taking values in filtered quasi-coherent complexes over…

math.NT2021★ 1 cited

On the $p$ -adic pro-étale cohomology of Drinfeld symmetric spaces

Guido Bosco

Via the relative fundamental exact sequence of $p$ -adic Hodge theory, we determine the geometric $p$ -adic pro-étale cohomology of the Drinfeld symmetric spaces defined over a $p$ -a…

Analytic de Rham stacks of Fargues-Fontaine curves

Torsion in p-adic étale cohomology: remarks and conjectures

Rational p-adic Hodge theory for rigid-analytic varieties

On the p-adic pro-étale cohomology of Drinfeld symmetric spaces

Torsion in $p$ -adic étale cohomology: remarks and conjectures

Rational $p$ -adic Hodge theory for rigid-analytic varieties

On the $p$ -adic pro-étale cohomology of Drinfeld symmetric spaces