Local-global problem for Drinfeld modules
Number Theory
2007-05-23 v1
Abstract
Let K be a function field and let (f) be a principal prime ideal of the ring A, which is a subring of K. Let phi: A --> K {tau} be a Drinfeld module. In this paper we consider the problem whether a point P in K which is a phi(f)-fold locally at each place v of K, i.e., for each v there is a Q in K_v such that phi(f).P = Q, is also a phi(f)-fold globally. We also discuss the same problem in the context of elliptic curves, where it is much simpler.
Keywords
Cite
@article{arxiv.math/0207310,
title = {Local-global problem for Drinfeld modules},
author = {Gert-Jan van der Heiden},
journal= {arXiv preprint arXiv:math/0207310},
year = {2007}
}