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Hilbert's tenth problem for function fields

Eisentrager, K (Michigan)
Wednesday 06 April 2005, 14:00-15.00

Seminar Room 1, Newton Institute


We will discuss how elliptic curves of rank one can be used to prove undecidability of Hilbert's Tenth Problem for function fields of characteristic zero, such as R(t) and C(t_1,...,t_n) (n at least 2).

The approach for function fields of positive characteristic is very different, and we will sketch some of the methods used there.


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