Finite morphisms from curves over Dedekind rings to $P^1$

Chinburg, T.; Pappas, G.; Taylor, M. J.

Finite morphisms from curves over Dedekind rings to $P^1$

Authors

Chinburg, T.

Pappas, G.

Taylor, M. J.

Description

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.