Solving Diophantine problems on curves via descent on the jacobian
We suggest that the following plan will provide a powerful tool for trying to find the set of Q-rational points C(Q) on a curve C of genus>1: (1) Attempt to find J(Q)/2J(Q) via descent on J, the Jacobian of C. (2) Deduce generators for J(Q) via an explicit theory of heights. (3). Apply local...
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World Scientific Publishing
1995
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