The Mordell-Weil sieve: Proving non-existence of rational points on curves - Mathematics > Number TheoryReport as inadecuate




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Abstract: We discuss the Mordell-Weil sieve as a general technique for proving resultsconcerning rational points on a given curve. In the special case of curves ofgenus 2, we describe quite explicitly how the relevant local information can beobtained if one does not want to restrict to mod p information at primes ofgood reduction. We describe our implementation of the Mordell-Weil sievealgorithm and discuss its efficiency.



Author: Nils Bruin, Michael Stoll

Source: https://arxiv.org/







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