2 citations · 3 across the 7 of their papers we have counts for
7 papers
Tame proper base change for discretely ringed adic spaces
Katharina Hübner
We consider a proper morphism and a locally closed immersion of discretely ringed adic spaces and prove proper base change for the tame topology in this settin…
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…
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…
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…
Tame and strongly étale cohomology of curves
Katharina Hübner
For a curve over a perfect field of characteristic we study the tame cohomology of introduced in arXiv:1801.04776. We prove that the tame co…
The adic tame site
Katharina Hübner
For every adic space we construct a site , the tame site of . For a scheme over a base scheme we obtain a tame site by associating with an adic space $\te…
Aspherical neighborhoods on arithmetic surfaces: the local case
Katharina Hübner
On arithmetic surfaces over local rings of integers we examine whether any geometric point has a basis of étale neighborhoods whose -completed étale homotopy types ar…