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arXiv · 0902.2039

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

T. Chinburg·G. Pappas·M. J. Taylor
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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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T. Chinburg, G. Pappas, M. J. Taylor. 2009-02-20. Finite morphisms from curves over Dedekind rings to $P^1$. https://arxiv.org/abs/0902.2039

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