Ein Analogon zur Fundamentalgruppe einer Riemann'schen Fläche im Zahlköperfall.
Einbettungsprobleme mit lokaler Vorgabe und freie Produkte lokaler Galoisgruppen.
Elementare Aussagen zur Arithmetik und Galoistheorie von Funktionenkörpern.
Erratum à l'article «Analogues supérieurs du noyau sauvage»
Étale Galois covers of affine smooth cuves. The geometric case of a conjecture of Shafarevich. On Abhyankar's conjecture.
Euler system for Galois deformations
In this paper, we develop the Euler system theory for Galois deformations. By applying this theory to the Beilinson-Kato Euler system for Hida’s nearly ordinary modular deformations, we prove one of the inequalities predicted by the two-variable Iwasawa main conjecture. Our method of the proof of the Euler system theory is based on non-arithmetic specializations. This gives a new simplified proof of the inequality between the characteristic ideal of the Selmer group of a Galois deformation and the...
Extensions non abéliennes de degré d’un corps de nombres : étude locale-globale