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

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

2009-02-12

arxiv.org/abs/0902.2039v2

Mathematics

Algebraic Geometry

Scientific paper

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.

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