Uniform boundedness for rational points
Abstract
We extend an earlier result by Dan Abramovich, showing that a conjecture of S. Lang's implies the existence of a uniform bound on the number of $K$rational points over all smooth curves of genus $g$ defined over $K$, where $K$ is any number field of fixed degree $d$, and $g$ is an integer greater than 1. The bound depends only on the genus $g$ and the degree of the number field $K$.
 Publication:

arXiv eprints
 Pub Date:
 January 1996
 arXiv:
 arXiv:alggeom/9601004
 Bibcode:
 1996alg.geom..1004P
 Keywords:

 Mathematics  Algebraic Geometry;
 14G05
 EPrint:
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