A subspace theorem for manifolds

Emmanuel Breuillard , Nicolas de Saxcé (1)

1 LAGA - Laboratoire Analyse, Géométrie et Applications

We prove a theorem that generalizes Schmidt's Subspace Theorem in the context of metric diophantine approximation. To do so we reformulate the Subspace theorem in the framework of homogeneous dynamics by introducing and studying a slope formalism and the corresponding notion of semistability for diagonal flows.

Domaines: Mathématiques [math]

Emmanuel Breuillard, Nicolas de Saxcé. A subspace theorem for manifolds. J. Eur. Math. Soc. (JEMS) 6, inPress. ⟨hal-03424738⟩