A(1)-connected varieties of rank one over nonclosed fields

作者:Chen Qile; Zhu Yi*
来源:Mathematische Annalen, 2016, 364(3-4): 1505-1515.
DOI:10.1007/s00208-015-1257-1

摘要

In this paper, we prove two results regarding the arithmetics of separably A(1)-connected varieties of rank one. First we prove that over a large field, there is an A(1)-curve through any rational point of the boundary, if the boundary divisor is smooth and separably rationally connected. Secondly, we generalize a theorem of Hassett-Tschinkel for the Zariski density of integral points over function fields of curves.

  • 出版日期2016-4