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Diophantine relations between rings of S-integers of fields of algebraic functions in one variable over constant fields of positive characteristic
Published online by Cambridge University Press: 12 March 2014
Abstract
One of the main theorems of the paper states the following. Let R-K-M be finite extensions of a rational one variable function field R over a finite field of constants. Let S be a finite set of valuations of K. Then the ring of elements of K having no poles outside S has a Diophantine definition over its integral closure in M.
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- Copyright © Association for Symbolic Logic 1993
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