Sur la théorie élémentaire des corps de fonctions
Identifieur interne : 000723 ( France/Analysis ); précédent : 000722; suivant : 000724Sur la théorie élémentaire des corps de fonctions
Auteurs : Jean-Louis Duret [France]Source :
- The Journal of Symbolic Logic [ 0022-4812 ] ; 1986-12.
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.
Url:
DOI: 10.2307/2273907
Affiliations:
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<front><div type="abstract" xml:lang="en">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.</div>
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