Badly approximable points on manifolds

Victor Beresnevich

Research output: Contribution to journal › Article › peer-review

Abstract

Addressing a problem of Davenport we show that any finite intersection of the sets of weighted badly approximable points on any analytic nondegenerate manifold in has full dimension. This also extends Schmidt's conjecture on badly approximable points to arbitrary dimensions.
Original languageEnglish
Pages (from-to)1199-1240
Number of pages42
JournalInventiones Mathematicae
Volume202
Issue number3
Early online date5 Mar 2015
DOIs
Publication statusPublished - 1 Dec 2015

Bibliographical note

© 2015, The Author. This content is made available by the publisher under a Creative Commons Attribution Licence. This means that a user may copy, distribute and display the resource providing that they give credit. Users must adhere to the terms of the licence.

Keywords

  • Diophantine approximation
  • Badly approximable points

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  • Badly approximable points on manifolds (Beresnevich, 2015)

    © 2015, The Author. This content is made available by the publisher under a Creative Commons Attribution Licence. This means that a user may copy, distribute and display the resource providing that they give credit. Users must adhere to the terms of the licence.

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