Solvable Points on Genus One Curves

نویسندگان

  • MIRELA ÇIPERIANI
  • ANDREW WILES
چکیده

A genus one curve defined over Q which has points over Qp for all primes p may not have a rational point. It is natural to study the classes of Q-extensions over which all such curves obtain a global point. In this article, we show that every such genus one curve with semistable Jacobian has a point defined over a solvable extension of Q.

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تاریخ انتشار 2008