B. Heuer

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20242026

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8 papers · 1 filter

math.AG2026

$G$ -torsors on perfectoid spaces

Ben Heuer

For any rigid analytic group variety $G$ over a non-archimedean field $K$ over $Q_{p}$ , we study $G$ -torsors on adic spaces over $K$ in the $v$ -topology. Our main result is t…

math.AG2025

$p$ -adic Simpson correspondences for principal bundles in abelian settings

Ben Heuer, Annette Werner, Mingjia Zhang

We explore generalizations of the $p$ -adic Simpson correspondence on smooth proper rigid spaces to principal bundles under rigid group varieties $G$ . For commutative $G$ , we prove…

math.AG2025

A $p$ -adic Simpson correspondence for smooth proper rigid varieties

Ben Heuer

For any smooth proper rigid analytic space $X$ over a complete algebraically closed extension of $Q_{p}$ , we construct a $p$ -adic Simpson correspondence: an equivalence of ca…

math.AG2025

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

Johannes AnschÃ¼tz, Ben Heuer, Arthur-CÃ©sar 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.AG2024

Line bundles on perfectoid covers: case of good reduction

Ben Heuer

We study Picard groups and Picard functors of perfectoid spaces which are limits of rigid spaces. For sufficiently large covers that are limits of rigid spaces of good reduction, w…

math.AG2024

Diamantine Picard functors of rigid spaces

Ben Heuer

For a connected smooth proper rigid space $X$ over a perfectoid field extension of $Q_{p}$ , we show that the Ã©tale Picard functor of $X$ defined on perfectoid test objects i…

G-torsors on perfectoid spaces

p-adic Simpson correspondences for principal bundles in abelian settings

A p-adic Simpson correspondence for smooth proper rigid varieties

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

Line bundles on perfectoid covers: case of good reduction

Diamantine Picard functors of rigid spaces

$G$ -torsors on perfectoid spaces

$p$ -adic Simpson correspondences for principal bundles in abelian settings

A $p$ -adic Simpson correspondence for smooth proper rigid varieties

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