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Algebraic function fields of one variable over finite fields are stable

โœ Scribed by Wulf-Dieter Geyer


Book ID
112887014
Publisher
The Hebrew University Magnes Press
Year
1989
Tongue
English
Weight
235 KB
Volume
68
Category
Article
ISSN
0021-2172

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โœ Alexandra Shlapentokh ๐Ÿ“‚ Article ๐Ÿ“… 1996 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 825 KB

We show that Diophantine problem (otherwise known as Hilbert's Tenth Problem) is undecidable over the fields of algebraic functions over the finite fields of constants of characteristic greater than two. This is the first example of Diophantine undecidability over any algebraic field. We also show t