Sur la théorie élémentaire des corps de fonctions
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AbstractWe 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.
2010 ◽
Vol 16
(2)
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pp. 261-269
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1998 ◽
Vol 69
(3-4)
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pp. 265-282
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1959 ◽
Vol 14
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pp. 223-234
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2013 ◽
Vol 89
(2)
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pp. 234-242
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2015 ◽
Vol 57
(2)
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pp. 157-185
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