TY - JOUR
T1 - Hilbert's Tenth Problem for function fields of varieties over algebraically closed fields of positive characteristic
AU - Eisentraeger, Anne Kirsten
PY - 2012/10/1
Y1 - 2012/10/1
N2 - Let K be the function field of a variety of dimension ≥ 2 over an algebraically closed field of odd characteristic. 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 F p(t 1, t 2) is undecidable when p > 2.
AB - Let K be the function field of a variety of dimension ≥ 2 over an algebraically closed field of odd characteristic. 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 F p(t 1, t 2) is undecidable when p > 2.
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U2 - 10.1007/s00605-011-0364-7
DO - 10.1007/s00605-011-0364-7
M3 - Article
AN - SCOPUS:84866774582
SN - 0026-9255
VL - 168
SP - 1
EP - 16
JO - Monatshefte fur Mathematik
JF - Monatshefte fur Mathematik
IS - 1
ER -