Explicit descent for Jacobians of cyclic covers of the projective line, by Bjorn Poonen and Edward F. Schaefer

This paper has appeared in J. Reine Angew. Math. 488 (1997), 141-188, and so the dvi version has been removed. We develop a general method for computing Mordell-Weil ranks of Jacobians of arbitrary curves of the form y^p=f(x). As an example, we compute the Mordell-Weil ranks over Q and Q(sqrt{-3}) for a non-hyperelliptic curve of genus 8.

Bjorn Poonen and Edward F. Schaefer <poonen@math.princeton.edu>