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

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/117820Let 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 AlgebraNumber Theory11U05 (Primary); 03B25 (Secondary)Hilbert's Tenth Problem for function fields of varieties over number fields and p-adic fieldstext