The cuspidal torsion packet on the Fermat curve, by Robert F. Coleman, Akio Tamagawa and Pavlos Tzermias
This paper has appeared in J. Reine Angew. Math. 496 (1998), 73-81, and
so the dvi version has been removed. We consider the Fermat curves of degree at least 4. For such a curve, we
the Albanese embedding into its Jacobian, by taking a cusp (i.e. a point
for which one of the projective coordinates vanishes) as a base point.
cuspidal torsion packet on the curve is defined as the set of
points on the curve whose image under this embedding is a torsion
point on the Jacobian. In this paper, we prove that the cuspidal torsion
on such a curve is the set of cusps.
Robert F. Coleman, Akio Tamagawa and Pavlos Tzermias <firstname.lastname@example.org,email@example.com,firstname.lastname@example.org>