On the Hasse norm principle.
On the ideal class groups of the maximal real subfields of number fields with all roots of unity
In this paper, for a totally real number field we show the ideal class group of is trivial. We also study the -component of the ideal class group of the cyclotomic -extension.
On the -torsion subgroup of the Brauer group of a number field
Given a number field Galois over the rational field , and a positive integer prime to the class number of , there exists an abelian extension (of exponent ) such that the -torsion subgroup of the Brauer group of is equal to the relative Brauer group of .
On the Shafarevich and Tate conjectures for hyperkähler varieties.
On the structure of certain Galois cohomology groups.
-adic representations arising from descent on abelian varieties
Plongement d'extensions diédrales.
Plongement d'une extension de degré p2 dans une surextension non abélienne de degré p3: étude locale-globale.
Positively ramified extensions of algebraic number fields.
Positiv-zerlegte p-Erweiterungen algebraischer Zahlkörper.
Primes which remain irreducible in a normal field
Problèmes de normes dans les extensions galoisiennes de corps de nombres.
Proper solutions of the imbedding problem with restricted ramification
Rational Homology of Bianchi Groups.
Relations between K2 and Galois Cohomology.
Remarques sur le groupe de classes du composé de deux corps de nombres linéairement disjoints
Representability by certain norm forms over algebraic number fields
Représentations galoisiennes, différentielles de Kähler et «conjectures principales»
Rings of integers of type .
Signatures of units and congruences (mod 4) in certain real quadratic fields. II.