A. Werner

activity

20002026

most citedRealizability of tropical canonical divisors

15 citations · 81 across the 31 of their papers we have counts for

collaborators

34 papers

math.AG2026

Abeloid varieties over higher rank valued fields: Raynaud uniformization and Néron models

Simon Kaib, Annette Werner

We study abeloid varieties over the adic space $Spa (K, K^{+})$ , where $K$ is a complete non-Archimedean field and $K^{+}$ is a valuation ring of arbitrary rank. We exten…

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.AG2022

On the birational geometry of matroids

Kris Shaw, Annette Werner

This paper investigates isomorphisms of Bergman fans of matroids respecting different fan structures, which we regard as matroid analogs of birational maps. We show that isomorphis…

math.AG2021

An intrinsic characterization of Bruhat-Tits buildings inside analytic groups

Bertrand Rémy, Amaury Thuillier, Annette Werner

Given a semisimple group over a complete non-Archimedean field, it is well known that techniques from non-Archimedean analytic geometry provide an embedding of the corresponding Br…

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.AG2020

Local systems on diamonds and $p$ -adic vector bundles

Lucas Mann, Annette Werner

We use Scholze's framework of diamonds to gain new insights in correspondences between $p$ -adic vector bundles and local systems. Such correspondences arise in the context of $p$ -a…

Abeloid varieties over higher rank valued fields: Raynaud uniformization and Néron models

p-adic Simpson correspondences for principal bundles in abelian settings

On the birational geometry of matroids

An intrinsic characterization of Bruhat-Tits buildings inside analytic groups

The p-adic Corlette-Simpson correspondence for abeloids

Local systems on diamonds and p-adic vector bundles

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

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

Local systems on diamonds and $p$ -adic vector bundles