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On some estimates and topological properties of relative orbits of subsets

Dao Phuong Bac

Department of Mathematics, VNU University of Science, Vietnam National University, Hanoi, 334 Nguyen Trai Street,Thanh Xuan, Hanoi, Vietnam

E-mail Address: daophuongbac@hus.edu.vn

E-mail Address: bacdp@vnu.edu.vn

E-mail Address: dpbac.vnu@gmail.com

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https://doi.org/10.1142/S0219498822502413Cited by:0 (Source: Crossref)

Abstract

In this paper, we give some topological properties and estimates of orbit of certain subsets of $K_{v}$ -points of varieties under actions of algebraic tori. These results are concerned with an analogue of Bruhat-Tits’ question on the set of $v$ -adic integral points of algebraic tori.

Communicated by C. S. Rajan

Dedication to Professor Nguyen Quoc Thang on his 65th Birthday

Keywords:

AMSC: 14L30, 14L24, 20G15, 11S99

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