Counting rational approximations on rank one flag varieties
Number Theory
2024-10-23 v1 Dynamical Systems
Abstract
On a generalized flag variety of rank one, we count rational approximations to a real point chosen randomly according to the Riemannian volume. In particular, our results apply to Grassmann varieties and quadric hypersurfaces. The proof uses exponential mixing in the space of lattices and tools from geometry of numbers.
Cite
@article{arxiv.2410.16508,
title = {Counting rational approximations on rank one flag varieties},
author = {René Pfitscher},
journal= {arXiv preprint arXiv:2410.16508},
year = {2024}
}
Comments
21 pages, 2 figures