English

Rational points and zero-cycles on rationally connected varieties over number fields

Number Theory 2022-11-19 v3 Algebraic Geometry

Abstract

We report on progress in the qualitative study of rational points on rationally connected varieties over number fields, also examining integral points, zero-cycles, and non-rationally connected varieties. One of the main objectives is to highlight and explain the many recent interactions with analytic number theory.

Keywords

Cite

@article{arxiv.1604.08543,
  title  = {Rational points and zero-cycles on rationally connected varieties over number fields},
  author = {Olivier Wittenberg},
  journal= {arXiv preprint arXiv:1604.08543},
  year   = {2022}
}

Comments

43 pages; v2: minor improvements; v3: updated bibliography

R2 v1 2026-06-22T13:43:48.460Z