9 citations · 33 across the 24 of their papers we have counts for
27 papers
The m-step Solvable Hom-Form of Birational Anabelian Geometry for Number Fields
Alberto Corato, Mohamed Saïdi
In 1981, Uchida proved a conditional version of the Hom-form of the Grothendieck birational anabelian conjecture for number fields. In this paper we prove an m-step solvable condit…
On sections of arithmetic fundamental groups of open p-adic annuli
Mohamed Saidi
We show the non-existence of sections of arithmetic fundamental groups of open p-adic annuli of small radii, this implies the non-existence of sections of arithmetic fundamental gr…
A local-global principle for torsors under geometric prosolvable fundamental groups II
Mohamed Saidi
We prove a local-global principle for torsors under the prosolvable geometric fundamental group of an affine curve over a number field.
Further examples of non-geometric sections of arithmetic fundamental groups
Mohamed Saidi
We show the existence of group-theoretic sections of certain geometrically pro-nilpotent by abelian arithmetic fundamental groups of hyperbolic curves over p-adic local fields whic…
Arithmetic of -adic curves and sections of geometrically abelian fundamental groups
Mohamed Saidi
Let be a proper, smooth, and geometrically connected curve of genus over a -adic local field. We prove that there exists an effectively computable open affine su…
On étale fundamental groups of formal fibres of -adic curves
Mohamed Saidi
We investigate a certain class of (geometric) finite (Galois) coverings of formal fibres of -adic curves and the corresponding quotient of the (geometric) étale fundamental grou…