An extension of quantitative nondivergence and applications to Diophantine exponents
Abstract
Description
We present a sharpening of nondivergence estimates for unipotent (or more generally polynomial-like) flows on homogeneous spaces. Applied to metric Diophantine approximation, it yields precise formulas for Diophantine exponents of affine subspaces of $\Bbb R^n$ and their nondegenerate submanifolds.
26 pages, a revised version. Trans. AMS, to appear
26 pages, a revised version. Trans. AMS, to appear