A subspace theorem for manifolds
Number Theory
2021-02-08 v2
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
@article{arxiv.2101.04055,
title = {A subspace theorem for manifolds},
author = {Emmanuel Breuillard and Nicolas de Saxcé},
journal= {arXiv preprint arXiv:2101.04055},
year = {2021}
}
Comments
42 pages, 2 figures, minor corrections