Hostname: page-component-76fb5796d-5g6vh Total loading time: 0 Render date: 2024-04-25T23:10:07.844Z Has data issue: false hasContentIssue false
  • English
  • Français

THE WEIERSTRASS SUBGROUP OF A CURVE HAS MAXIMAL RANK

Published online by Cambridge University Press:  19 December 2006

MARTINE GIRARD ,
DAVID R. KOHEL  and
CHRISTOPHE RITZENTHALER
MARTINE GIRARD
Affiliation:
School of Mathematics and Statistics, The University of Sydney, NSW 2006, Australiagirard@maths.usyd.edu.au, kohel@maths.usyd.edu.au
DAVID R. KOHEL
Affiliation:
School of Mathematics and Statistics, The University of Sydney, NSW 2006, Australiagirard@maths.usyd.edu.au, kohel@maths.usyd.edu.au
CHRISTOPHE RITZENTHALER
Affiliation:
Institut de Mathématiques de Luminy, 163 Avenue de Luminy, Case 907, 13288 Marseille Cedex 9, Franceritzenth@iml.univ-mrs.fr
Get access

Abstract

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

Keywords

11G3014H4014H1014H5514Q05
Type
Papers
Information
Bulletin of the London Mathematical Society , Volume 38 , Issue 6 , December 2006 , pp. 925 - 931
Copyright
The London Mathematical Society 2006

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)