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THE WEIERSTRASS SUBGROUP OF A CURVE HAS MAXIMAL RANK

Published online by Cambridge University Press:  19 December 2006

MARTINE GIRARD
Affiliation:
School of Mathematics and Statistics, The University of Sydney, NSW 2006, [email protected], [email protected]
DAVID R. KOHEL
Affiliation:
School of Mathematics and Statistics, The University of Sydney, NSW 2006, [email protected], [email protected]
CHRISTOPHE RITZENTHALER
Affiliation:
Institut de Mathématiques de Luminy, 163 Avenue de Luminy, Case 907, 13288 Marseille Cedex 9, [email protected]
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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.

Type
Papers
Copyright
The London Mathematical Society 2006

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