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

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.

References in corpus (1)

• Hermitian vector bundles and extension groups on arithmetic schemes. I. Geometry of numbers