English

Remarks about uniform boundedness of rational points over function fields

Algebraic Geometry 2007-05-23 v2

Abstract

We prove a few uniform versions of the Mordell-Lang Conjecture and of the Shafarevich Conjecture for curves over function fields and their rational points. The main focus is on function fields having high transcendence degree over the complex numbers.

Keywords

Cite

@article{arxiv.math/0004078,
  title  = {Remarks about uniform boundedness of rational points over function fields},
  author = {Lucia Caporaso},
  journal= {arXiv preprint arXiv:math/0004078},
  year   = {2007}
}

Comments

Major changes and additions. Error in section 2 and its consequences eliminated