most citedUndecidability in function fields of positive characteristic

2 citations · 2 across the 3 of their papers we have counts for

collaborators

3 papers

math.NT2007★ 2 cited

Undecidability in function fields of positive characteristic

Kirsten Eisentraeger, Alexandra Shlapentokh

We prove that the first-order theory of any function field K of characteristic p>2 is undecidable in the language of rings without parameters. When K is a function field in one var…

math.NT2007

Descent on Elliptic Curves and Hilbert's Tenth Problem

Graham Everest, Kirsten Eisentraeger

Descent via an isogeny on an elliptic curve is used to construct two subrings of the field of rational numbers, which are complementary in a strong sense, and for which Hilbert's T…

math.NT2003

Integrality at a prime for global fields and the perfect closure of global fields of characteristic p>2

Kirsten Eisentraeger

Let k be a global field and \pp any nonarchimedean prime of k. We give a new and uniform proof of the well known fact that the set of all elements of k which are integral at \pp is…