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On relative computability for curves

Abstract:
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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Institution:
University of Oxford
Division:
MPLS
Department:
Mathematical Institute
Role:
Author
Publication date:
2004-01-01
Keywords:
Pubs id:
pubs:308902
UUID:
uuid:6a32247f-f69a-4aff-b068-8a4a7f854cd5
Local pid:
pubs:308902
Source identifiers:
308902
Deposit date:
2012-12-19

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