Hilbert's Tenth Problem for function fields of varieties over number fields and p-adic fields

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Let k be a subfield of a p-adic field of odd residue characteristic, and let L be the function field of a variety of dimension n >= 1 over k. Then Hilbert's Tenth Problem for L is undecidable. In particular, Hilbert's Tenth Problem for function fields of varieties over number fields of dimension >= 1 is undecidable.
19 pages; to appear in Journal of Algebra

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

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http://salesiana.dossiersoluciones.com/handle/123456789/117820

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0610132
 http://arxiv.org/abs/math/0610132

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arXiv