most citedHilbert's Tenth Problem for function fields of varieties over C

5 citations · 5 across the 3 of their papers we have counts for

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3 papers

math.NT2006

Hilbert's Tenth Problem for function fields of characteristic zero

Kirsten Eisentraeger

In this article we outline the methods that are used to prove undecidability of Hilbert's Tenth Problem for function fields of characteristic zero. Following Denef we show how rank…

math.NT2006

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

Kirsten Eisentraeger

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…

math.NT2006★ 5 cited

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

Kirsten Eisentraeger

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…