Hilbert's Tenth Problem for function fields of varieties over C

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Let K be the function field of a variety of dimension at least 2 over an algebraically closed field of characteristic zero. Then Hilbert's Tenth Problem for K is undecidable. This generalizes the result by Kim and Roush from 1992 that Hilbert's Tenth Problem for the purely transcendental function field C(t_1,t_2) is undecidable.
12 pages

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Number Theory, 11U05 (Primary); 03B25 (Secondary)

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http://salesiana.dossiersoluciones.com/handle/123456789/116575

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0609540
 http://arxiv.org/abs/math/0609540
 Int. Math. Res. Not. 59 (2004), 3191-3205

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arXiv