Algebraic flows on abelian varieties

作者:Ullmo Emmanuel*; Yafaev Andrei
来源:Journal fur die Reine und Angewandte Mathematik, 2018, 741(741): 47-66.
DOI:10.1515/crelle-2015-0085

摘要

Let A be an abelian variety. The abelian Ax-Lindemann theorem shows that the Zariski closure of an algebraic flow in A is a translate of an abelian subvariety of A. The paper discusses some conjectures on the usual topological closure of an algebraic flow in A. The main result is a proof of these conjectures when the algebraic flow is given by an algebraic curve.

  • 出版日期2018-8