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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

Alexandra Shlapentokh
Alexandra Shlapentokh*
Affiliation:
Department of Mathematics, East Carolina University, Greenville, North Carolina 27858, E-mail: mashlape@ecuvax.cis.ecu.edu
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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.

Type
Research Article
Information
The Journal of Symbolic Logic , Volume 58 , Issue 1 , March 1993 , pp. 158 - 192
Copyright
Copyright © Association for Symbolic Logic 1993

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References

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