On relative computability for curves

Details On relative computability for curves On relative computability for curves

2005-02-10

arxiv.org/abs/math/0502224v1

Mathematics

Number Theory

Lecture at the mid-west model theory meeting, December, 2004

Scientific paper

We discuss a rational version of a conjecture of Matiyasevich, Davis, and
Putnam on the relative decidability of the finiteness problem for Diophantine
equations with respect to the existence problem. We formulate a suspicion that
for rational solutions, the finiteness problem should be relatively decidable
in contrast to the M-D-P conjecture for integer solutions.

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