Trivial points on towers of curves
Number Theory
2012-01-13 v1 Algebraic Geometry
Abstract
We define and study trivial points on towers of curves over number fields, and we show their finiteness in some cases. We relate these to the unboundeness of the gonality of the curves, which we show under some hypothesis. The problem is related to recent results of Cadoret and Tamagawa, and Ellenberg, Hall and Kowalski.
Cite
@article{arxiv.1201.2567,
title = {Trivial points on towers of curves},
author = {Xavier Xarles},
journal= {arXiv preprint arXiv:1201.2567},
year = {2012}
}
Comments
16 pages