JournalsjemsVol. 26, No. 11pp. 4273–4313

A subspace theorem for manifolds

  • Emmanuel Breuillard

    University of Oxford, UK

  • Nicolas de Saxcé

    Géométrie et Applications CNRS; Université Sorbonne Paris Nord, Villetaneuse, France
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Abstract

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.

Cite this article

Emmanuel Breuillard, Nicolas de Saxcé, A subspace theorem for manifolds. J. Eur. Math. Soc. 26 (2024), no. 11, pp. 4273–4313

DOI 10.4171/JEMS/1346