EnglishFrançais

Site Web DMA

Bannière DMA Site de l'ENS Site Paris Sciences et Lettres Site du CNRS Accueil

Variétés rationnelles

Horaires : Le vendredi 13 avril 2012, 14h30-15h30

Lieu : salle W

Universal torsors and values of quadratic polynomials represented by norms

Dasheng Wei (Pekin / Munich - page personnelle)

Let K/k be an extension of number fields, and let P(t) be a quadratic polynomial over k. Let X be the affine variety defined by P(t) = N_{K/k}(z). We study the Hasse principle and weak approximation for X in two cases. For [K:k]=4 and P(t) irreducible over k and split in K, we prove the Hasse principle and weak approximation. For k=Q with arbitrary K, we show that the Brauer-Manin obstruction to the Hasse principle and weak approximation is the only one.

 

Autres séances du séminaire


45 rue d'Ulm - F 75230 PARIS cedex 05 | phone : (33) 1 44 32 20 49 | fax : (33) 1 44 32 20 69

Plan du site | Mentions légales | | Edition du site | Web site designed under SPIP