47 citations · 257 across the 37 of their papers we have counts for
6 papers · 1 filter
Extensions of profinite duality groups
Alexander Schmidt, Kay Wingberg
We show that the class of profinite duality groups is closed under group extensions provided that the kernel satisfies some finiteness condition. This extends earlier results of Pl…
On different notions of tameness in arithmetic geometry
Moritz Kerz, Alexander Schmidt
The notion of a tamely ramified covering is canonical only for curves. Several notions of tameness for coverings of higher dimensional schemes have been used in the literature. We…
On pro-p fundamental groups of marked arithmetic curves
Alexander Schmidt
Let k be a global field, p an odd prime number different from char(k) and S, T disjoint, finite sets of primes of k. Let G_S^T(k)(p)=Gal(k_S^T(p)|k) be the Galois group of the maxi…
Covering data and higher dimensional global class field theory
Moritz Kerz, Alexander Schmidt
For a connected regular scheme X, flat and of finite type over Spec(Z), we construct a reciprocity homomorphism ρ_X: C_X --> π_1^\ab(X), which is surjective and whose kernel is the…
Pro-p groups of positive deficiency
Jonathan A. Hillman, Alexander Schmidt
Let Γbe a finitely presentable pro-p group with a nontrivial finitely generated closed normal subgroup N of infinite index. Then def(Γ)\leq 1, and if def(Γ)=1 then Γis a pro-p dual…
On the K(π,1)-property for rings of integers in the mixed case
Alexander Schmidt
We investigate the Galois group G_S(p) of the maximal p-extension unramified outside a finite set S of primes of a number field in the (mixed) case, when there are primes dividing…