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

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/220644A 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.Algebraic GeometryNumber Theory14H25 (Primary); 14D10, 14G25 (Secondary)Finite morphisms from curves over Dedekind rings to $P^1$text