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

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/116575Let 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 pagesNumber Theory11U05 (Primary); 03B25 (Secondary)Hilbert's Tenth Problem for function fields of varieties over Ctext