arXiv:math/0610132 Abstract

arXiv:math/0610132 [math.NT]Abstract References Reviews Resources

Hilbert's Tenth Problem for function fields of varieties over number fields and p-adic fields

Published 2006-10-04Version 1

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.

Comments: 19 pages; to appear in Journal of Algebra

Categories: math.NT

Subjects: 11U05, 03B25

Keywords: function field, number fields, p-adic field, odd residue characteristic

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