Sur la théorie élémentaire Des corps de fonctions

Journal of Symbolic Logic 51 (4):948-956 (1986)
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Abstract

We study the first order theory of function fields in the language of fields by using fundamental results on curves in algebraic geometry. We give some applications; for example, using a theorem of G. Cherlin, we prove the undecidability of function fields with nonzero characteristic over an algebraically closed field

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