Katharina Hubner

collaborators

5 papers

math.AG2025

Tame proper base change for discretely ringed adic spaces

Katharina HÃ¼bner

We consider a proper morphism $X \to S$ and a locally closed immersion $S^{'} \to S$ of discretely ringed adic spaces and prove proper base change for the tame topology in this settin…

math.AG2024

Logarithmic geometry beyond fs

Piotr Achinger, Katharina HÃ¼bner, Marcin Lara +1

We develop the foundations of logarithmic structures beyond the standard finiteness conditions. The motivation is the study of semistable models over general valuation rings. The k…

math.AG2024

Logarithmic differentials on discretely ringed adic spaces

Katharina HÃ¼bner

On a smooth discretely ringed adic space $X$ over a field $k$ we define a subsheaf $I^c ◯_{X}^{+}$ of the sheaf of differentials $I^c ◯_{X}$ . It is defined in…

math.AG2024

Adic curves: stable reduction, skeletons and metric structure

Katharina HÃ¼bner, Michael Temkin

We study the structure of adic curves over an affinoid field of arbitrary rank. In particular, quite analogously to Berkovich geometry we classify points on curves, prove a semista…

math.NT2024

Adic spaces

Katharina HÃ¼bner

These lecture notes are based on the second course in a series of lectures at the Spring school "Non-archimedean geometry and Eigenvarieties" in March 2023 in Heidelberg. The objec…