Intrinsic Diophantine Approximation on General Polynomial Surfaces

Abstract

We study the Hausdorff measure and dimension of the set of intrinsically simultaneously $\psi$-approximable points on a curve, surface, etc., given as a graph of integer valued polynomials. We obtain complete answers to these questions for algebraically "nice" manifolds. This generalizes earlier work done in the case of curves.

This is a draft of a paper to appear in Mathematika. The final version may differ

References in corpus (1)

• Metric Diophantine approximation on homogeneous varieties