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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
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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

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