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Showing 1 to 1 of 1 for “"local solubility"”.

  1. Deciding if a Genus 1 Curve has a Rational Point

    … a smooth, genus 1 curve of arbitrary degree is locally soluble, we compute its Jacobian, and we give an exposition for descent in our context. Additionally, we prove there exists an algorithm to decide if smooth, genus 1 curve has a rational point if and only if there exists an algorithm to …

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