Uniform Potential Density for Rational Points on Algebraic Groups and Elliptic K3 Surfaces-Reference-Cited by-同舟云学术

Uniform Potential Density for Rational Points on Algebraic Groups and Elliptic K3 Surfaces

Published:2021-09-02 Issue: Volume: Page:
ISSN:1073-7928
Container-title:International Mathematics Research Notices
language:en
Short-container-title:

Author:

Lai Kuan-Wen¹,Nakahara Masahiro²

Affiliation:

1. Department of Mathematics and Statistics, University of Massachusetts, Amherst, MA 01003, USA

2. Department of Mathematics, University of Washington Seattle, WA 98195, USA

Abstract

Abstract A collection of varieties satisfies uniform potential density if each of them contains a dense subset of rational points after extending its ground field by a bounded degree. In this paper, we prove that uniform potential density holds for connected algebraic groups of a fixed dimension over fields of characteristic zero as well as elliptic K3 surfaces over number fields.

Publisher

Oxford University Press (OUP)

Subject

General Mathematics

Link

http://academic.oup.com/imrn/advance-article-pdf/doi/10.1093/imrn/rnab237/40301874/rnab237.pdf

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