B. Heuer

activity

20122024

most citedPerfectoid covers of abelian varieties

10 citations · 47 across the 17 of their papers we have counts for

collaborators

17 papers

math.AG2024

$p$ -adic non-abelian Hodge theory for curves via moduli stacks

Ben Heuer, Daxin Xu

For a smooth projective curve $X$ over $C_{p}$ and any reductive group $G$ , we show that the moduli stack of $G$ -Higgs bundles on $X$ is a twist of the moduli stack of v-topo…

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

$p$ -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.AG2023★ 3 cited

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.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.AG2022★ 1 cited

Moduli spaces in $p$ -adic non-abelian Hodge theory

Ben Heuer

We propose a new moduli-theoretic approach to the $p$ -adic Simpson correspondence for a smooth proper rigid space $X$ over $C_{p}$ with coefficients in any rigid analytic gro…

math.AG2022★ 2 cited

A geometric $p$ -adic Simpson correspondence in rank one

Ben Heuer

For any smooth proper rigid space $X$ over a complete algebraically closed extension $K$ of $Q_{p}$ we give a geometrisation of the $p$ -adic Simpson correspondence of rank on…

math.AG2022

$G$ -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.AG2021★ 9 cited

The $p$ -adic Corlette-Simpson correspondence for abeloids

Ben Heuer, Lucas Mann, Annette Werner

For an abeloid variety $A$ over a complete algebraically closed field extension $K$ of $Q_{p}$ , we construct a $p$ -adic Corlette-Simpson correspondence, namely an equivalence…

math.AG2021★ 5 cited

Pro-étale uniformisation of abelian varieties

Ben Heuer

For an abelian variety $A$ over an algebraically closed non-archimedean field $K$ of residue characteristic $p$ , we show that the isomorphism class of the pro-étale perfectoid cove…

math.AG2021★ 5 cited

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.AG2021★ 5 cited

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 étale Picard functor of $X$ defined on perfectoid test objects is…

math.NT2020★ 3 cited

Cusps and $q$ -expansion principles for modular curves at infinite level

Ben Heuer

We develop an analytic theory of cusps for Scholze's $p$ -adic modular curves at infinite level in terms of perfectoid parameter spaces for Tate curves. As an application, we descri…

math.NT2019★ 2 cited

Overconvergent Hilbert modular forms via perfectoid modular varieties

Christopher Birkbeck, Ben Heuer, Chris Williams

We give a new construction of $p$ -adic overconvergent Hilbert modular forms by using Scholze's perfectoid Shimura varieties at infinite level and the Hodge--Tate period map. The de…

math.AG2018★ 10 cited

Perfectoid covers of abelian varieties

Clifford Blakestad, Damián Gvirtz-Chen, Ben Heuer +4

For an abelian variety $A$ over an algebraically closed non-archimedean field of residue characteristic $p$ , we show that there exists a perfectoid space which is the tilde-limit o…

math.PR2012

On spatial coalescents with multiple mergers in two dimensions

Benjamin Heuer, Anja Sturm

We consider the genealogy of a sample of individuals taken from a spatially structured population when the variance of the offspring distribution is relatively large. The space is…

p-adic non-abelian Hodge theory for curves via moduli stacks

The small p-adic Simpson correspondence in terms of moduli 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

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

Moduli spaces in p-adic non-abelian Hodge theory

A geometric p-adic Simpson correspondence in rank one

G-torsors on perfectoid spaces

The p-adic Corlette-Simpson correspondence for abeloids

Pro-étale uniformisation of abelian varieties

Line bundles on perfectoid covers: case of good reduction

Diamantine Picard functors of rigid spaces

Cusps and q-expansion principles for modular curves at infinite level

Overconvergent Hilbert modular forms via perfectoid modular varieties

Perfectoid covers of abelian varieties

On spatial coalescents with multiple mergers in two dimensions

$p$ -adic non-abelian Hodge theory for curves via moduli stacks

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

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

Moduli spaces in $p$ -adic non-abelian Hodge theory

A geometric $p$ -adic Simpson correspondence in rank one

$G$ -torsors on perfectoid spaces

The $p$ -adic Corlette-Simpson correspondence for abeloids

Cusps and $q$ -expansion principles for modular curves at infinite level