Abstract
We prove an analogue of a theorem of Pollington and Velani (Sel Math (N.S.) 11:297–307, 2005), furnishing an upper bound on the Hausdorff dimension of certain subsets of the set of very well intrinsically approximable points on a quadratic hypersurface. The proof incorporates the framework of intrinsic approximation on such hypersurfaces first developed in the authors’ joint work with Kleinbock (Intrinsic Diophantine approximation on manifolds, 2014. arXiv:1405.7650v2) with ideas from work of Kleinbock et al. (Sel Math (N.S.) 10:479–523, 2004).
Original language | English |
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Pages (from-to) | 3875-3888 |
Number of pages | 14 |
Journal | Selecta Mathematica, New Series |
Volume | 24 |
Issue number | 5 |
Early online date | 12 Oct 2018 |
DOIs | |
Publication status | Published - Nov 2018 |