Diophantine approximation on rational quadrics

DOI10.1007/s00208-005-0683-xzbMath1082.11047arXivmath/0503606OpenAlexW2115592689MaRDI QIDQ2571046

Cornelia Drutu

Publication date: 2 November 2005

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0503606

zbMATH Keywords

ubiquitysymmetric spacesDiophantine approximationHausdorff measure and dimensionvery well approximable pointsrational quadrics

Mathematics Subject Classification ID

Discrete subgroups of Lie groups (22E40) Differential geometry of symmetric spaces (53C35) Metric theory (11J83)

Related Items (16)

Intrinsic Diophantine approximation on quadric hypersurfaces ⋮ The Generalized Baker–Schmidt Problem on Hypersurfaces ⋮ Metric Diophantine approximation on homogeneous varieties ⋮ Rational approximation on spheres ⋮ Counting intrinsic Diophantine approximations in simple algebraic groups ⋮ Diophantine approximation on quadrics ⋮ On intrinsic and extrinsic rational approximation to Cantor sets ⋮ Rational approximation to algebraic varieties and a new exponent of simultaneous approximation ⋮ Small values of Weyl sums ⋮ Khinchin's theorem for approximation by integral points on quadratic varieties ⋮ Kazhdan projections, random walks and ergodic theorems ⋮ A note on simultaneous Diophantine approximation on planar curves ⋮ Rational points near manifolds and metric Diophantine approximation ⋮ SIMULTANEOUS DIOPHANTINE APPROXIMATION ON POLYNOMIAL CURVES ⋮ Rational approximation on quadrics: a simplex lemma and its consequences ⋮ Extrinsic Diophantine approximation on manifolds and fractals

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