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

Kirsten Eisentraeger

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

Kirsten Eisentraeger

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Abstract

Let 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.

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BibTeX RIS

Kirsten Eisentraeger. 2006-09-20. Hilbert's Tenth Problem for function fields of varieties over C. https://arxiv.org/abs/math/0609540

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