A subspace theorem for manifolds

A subspace theorem for manifolds

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 dia...

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Veröffentlicht in:Journal of the European Mathematical Society : JEMS 2023-05, Vol.26 (11), p.4273-4313
Hauptverfasser: Breuillard, Emmanuel, de Saxcé, Nicolas
Format: Artikel
Sprache:eng
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Zusammenfassung: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.
ISSN:1435-9855
1435-9863
DOI:10.4171/JEMS/1346