47 citations · 257 across the 37 of their papers we have counts for
39 papers
Anabelian Geometry in Families
Tim Holzschuh, Alexander Schmidt, Jakob Stix
Anabelian geometry as an attempt to describe geometry in terms of étale topological data has addressed so far mainly categories of varieties over a field. In this paper we work ove…
Homotopy invariance of tame homotopy groups of regular schemes
Alexander Schmidt
The étale homotopy groups of schemes as defined by Artin and Mazur have the disadvantage of being homotopy invariant only in characteristic zero. This and other related problems le…
The tame site of a scheme
Katharina Hübner, Alexander Schmidt
Étale cohomology with non-invertible coefficients has some unpleasant properties, e.g., it is not A^1-homotopy invariant and for constructible coefficients the expected finiteness…
On quasi-purity of the branch locus
Alexander Schmidt
Let be a field, finitely generated and a finite, separable extension. We show that the existence of a -valuation on which ramifies in implies the exist…
Poitou-Tate duality for arithmetic schemes
Thomas H. Geisser, Alexander Schmidt
We give a generalization of Poitou-Tate duality to schemes of finite type over rings of integers of global fields.
On the étale site of a marked scheme
Alexander Schmidt
We verify basic properties of the étale site of a `scheme with marking'. The coverings are étale coverings that split over all marked points. Familiar cases are the small étale sit…