Counting rational approximations on rank one flag varieties

Autor:	Pfitscher, René
Rok vydání:	2024
Předmět:	Mathematics - Number Theory Mathematics - Dynamical Systems 11J83 (Primary) 37A17 37A25 (Secondary)
Druh dokumentu:	Working Paper
Popis:	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. Comment: 21 pages, 2 figures
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2410.16508 Zobrazit plný text záznamu View this record from Arxiv