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

Simple item page
dc.creatorEisentraeger, Kirsten
dc.date2006-09-20
dc.date.accessioned2026-07-07T07:24:58Z
dc.date.available2026-07-07T07:24:58Z
dc.descriptionLet 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.
dc.description12 pages
dc.identifierhttps://arxiv.org/abs/math/0609540
dc.identifierhttp://arxiv.org/abs/math/0609540
dc.identifierInt. Math. Res. Not. 59 (2004), 3191-3205
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/116575
dc.subjectNumber Theory
dc.subject11U05 (Primary); 03B25 (Secondary)
dc.titleHilbert's Tenth Problem for function fields of varieties over C
dc.typetext

Files

Collections

arXiv