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Witt equivalence of algebraic function fields over real closed fields

✍ Scribed by Przemysław Koprowski


Publisher
Springer-Verlag
Year
2002
Tongue
French
Weight
230 KB
Volume
242
Category
Article
ISSN
0025-5874

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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