Volume 5 (2022)
de Saxcé, Nicolas
Approximation diophantienne sur les quadriques
Annales Henri Lebesgue, Volume 5 (2022), pp. 1009-1034.

Metadata

DOI10.5802/ahl.142
Keywords espaces de réseaux, points rationnels, groupes orthogonaux, théorème du sous-espace

Abstract

Nous étudions l’exposant diophantien d’un point x d’une hypersurface quadratique. Nous montrons notamment un analogue du théorème de Thue–Siegel–Roth, c’est-à-dire une formule pour l’exposant diophantien d’un point algébrique, et un analogue du résultat de Kleinbock et Margulis sur l’extrémalité des sous-variétés non dégénérées de l’espace affine.


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