Diophantine approximation on rational quadrics

Cornelia Drutu

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Diophantine approximation on rational quadrics

Cornelia Drutu

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Abstract

We compute the Hausdorff dimension of sets of very well approximable vectors on rational quadrics. We use ubiquitous systems and the geometry of locally symmetric spaces. As a byproduct we obtain the Hausdorff dimension of the set of rays with a fixed maximal singular direction, which move away into one end of a locally symmetric space at linear depth, infinitely many times.

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Cornelia Drutu. 2005-04-05. Diophantine approximation on rational quadrics. https://arxiv.org/abs/math/0503606

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