An extension of quantitative nondivergence and applications to Diophantine exponents
Abstract
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 Rn and their nondegenerate submanifolds.
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