Finite morphisms from curves over Dedekind rings to P¹
classification
🧮 math.AG
math.NT
keywords
dedekindfieldfinitecurvecurvesdifferenteveryfraction
read the original 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.
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