4 papers
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…
Topological rigidity of maps in positive characteristic and anabelian geometry
Piotr Achinger, Jakob Stix
We study pairs of non-constant maps between two integral schemes of finite type over two (possibly different) fields of positive characteristic. When the target is quasi-affine, Ta…
Regular logarithmic connections
Piotr Achinger
We introduce the notion of a regular integrable connection on a smooth log scheme over and construct an equivalence between the category of such connections and the ca…