数域上有理连通变上的有理点和零环

Algebraic Geometry: Salt Lake City 2015 Pub Date : 2016-04-28 DOI:10.1090/pspum/097.2/20

Olivier Wittenberg

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引用次数: 33

摘要

本文报道了数域上理性连通簇上有理点的定性研究进展，并研究了积分点、零环和非理性连通簇。主要目标之一是强调和解释最近与解析数论的许多相互作用。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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

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.

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Algebraic Geometry: Salt Lake City 2015

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