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

Olivier Wittenberg (1, 2)

1 CNRS - Centre National de la Recherche Scientifique
2 DMA - Département de Mathématiques et Applications - ENS Paris

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.

Domaines: Théorie des nombres [math.NT]; Géométrie algébrique [math.AG]

Olivier Wittenberg. Rational points and zero-cycles on rationally connected varieties over number fields. Algebraic Geometry: Salt Lake City 2015, Part 2, American Mathematical Society, pp. 597-635, 2018, Proceedings of Symposia in Pure Mathematics 97, ⟨10.1090/pspum/097.2/20⟩. ⟨hal-02371594⟩