Finite morphisms from curves over Dedekind rings to $P^1$
Algebraic Geometry
2009-02-20 v2 Number Theory
Abstract
A theorem of B. Green states that if A is a Dedekind ring whose fraction field is a local or global field, every normal projective curve over Spec(A) has a finite morphism to P^1_A. We give a different proof of a variant of this result using intersection theory and work of Moret-Bailly.
Cite
@article{arxiv.0902.2039,
title = {Finite morphisms from curves over Dedekind rings to $P^1$},
author = {T. Chinburg and G. Pappas and M. J. Taylor},
journal= {arXiv preprint arXiv:0902.2039},
year = {2009}
}