4 papers
Tame fundamental groups of rigid spaces
Piotr Achinger, Katharina Hübner, Marcin Lara +1
We introduce the tame étale fundamental group of a rigid space X over a non-archimedean field K. We show that if X is qcqs and K has topologically finitely generated t…
Compactly supported -adic pro-étale cohomology of analytic varieties
Piotr Achinger, Sally Gilles, WiesÅawa NizioÅ
We study properties of compactly supported -adic pro-étale cohomology of smooth partially proper rigid analytic varieties. In particular, we prove a comparison theorem, in a st…
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…
Beauville-Laszlo gluing of algebraic spaces
Piotr Achinger, Alex Youcis
For a complete discrete valuation field , we show that one may always glue a separated formal algebraic space over to a separated algebraic space…