Explicit Descent for Jacobians of Cyclic Covers of the Projective Line

نویسندگان

  • BJORN POONEN
  • EDWARD F. SCHAEFER
چکیده

We develop a general method for bounding Mordell-Weil ranks of Jacobians of arbitrary curves of the form y = f(x). As an example, we compute the Mordell-Weil ranks over Q and Q( √ −3) for a non-hyperelliptic curve of genus 8.

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تاریخ انتشار 2006