Hilbert's Tenth Problem for function fields of varieties over number fields and p-adic fields
Number Theory
2007-05-23 v1
Abstract
Let 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.
Keywords
Cite
@article{arxiv.math/0610132,
title = {Hilbert's Tenth Problem for function fields of varieties over number fields and p-adic fields},
author = {Kirsten Eisentraeger},
journal= {arXiv preprint arXiv:math/0610132},
year = {2007}
}
Comments
19 pages; to appear in Journal of Algebra