English

The Weierstrass subgroup of a curve has maximal rank

Number Theory 2007-05-23 v2 Algebraic Geometry

Abstract

We show that the Weierstrass points of the generic curve of genus gg over an algebraically closed field of characteristic 0 generate a group of maximal rank in the Jacobian.

Keywords

Cite

@article{arxiv.math/0504130,
  title  = {The Weierstrass subgroup of a curve has maximal rank},
  author = {Martine Girard and David R. Kohel and Christophe Ritzenthaler},
  journal= {arXiv preprint arXiv:math/0504130},
  year   = {2007}
}