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math.AG2024
Logarithmic geometry beyond fs
Piotr Achinger, Katharina Hübner, 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
Adic curves: stable reduction, skeletons and metric structure
Katharina Hübner, 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 Hübner
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…