A criterion is given for curves defined over Z to have an infinite point in a discrete ordered ring. Using this, one can decide effectively whether a given polynomial in T{X, Y] has a zero in a model for the axioms of open induction. Riemann-Roch for curves over Q is the main tool used. Introduction. There is little doubt that most results in (classical… (More)

@inproceedings{DEN2010WhichCO,
title={Which Curves over Z Have Points with Coordinates in a Discrete Ordered Ring?},
author={VAN DEN},
year={2010}
}