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

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dc.creatorEisentraeger, Kirsten
dc.date2006-10-04
dc.date.accessioned2026-07-07T07:28:40Z
dc.date.available2026-07-07T07:28:40Z
dc.descriptionLet 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.
dc.description19 pages; to appear in Journal of Algebra
dc.identifierhttps://arxiv.org/abs/math/0610132
dc.identifierhttp://arxiv.org/abs/math/0610132
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/117820
dc.subjectNumber Theory
dc.subject11U05 (Primary); 03B25 (Secondary)
dc.titleHilbert's Tenth Problem for function fields of varieties over number fields and p-adic fields
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