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Torsion on theta divisors of hyperelliptic Fermat Jacobians

Published online by Cambridge University Press:  15 October 2004

David Grant
David Grant
Affiliation:
Department of Mathematics, University of Colorado at Boulder, Boulder, CO 80309, USAgrant@boulder.colorado.edu
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Abstract

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We generalize a result of Anderson by showing that torsion points of certain orders cannot lie on a theta divisor in the Jacobians of hyperelliptic images of Fermat curves. The proofs utilize the explicit geometry of hyperelliptic Jacobians and their formal groups at the origin.

Keywords

Fermat curvestorsion11G1014K12
Type
Research Article
Information
Compositio Mathematica , Volume 140 , Issue 6 , November 2004 , pp. 1432 - 1438
Copyright
Foundation Compositio Mathematica 2004