Curves over every global field violating the local-global principle
There is an algorithm that takes as input a global field k and produces a curve over k violating the local-global principle. Also, given a global field k and a nonnegative integer n, one can effectively construct a curve X over k such that #X(k) = n.
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Format: | Article |
Language: | English |
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Springer-Verlag,
2012-04-27T21:18:32Z.
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Online Access: | Get fulltext |