Proceedings of the American Mathematical Society

Author(s): Martine Girard; Pavlos Tzermias
Journal: Proc. Amer. Math. Soc. 130 (2002), 667-672.
MSC (1991): Primary 11G30, 14H25; Secondary 14H45
Posted: August 29, 2001
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Abstract: We describe the group generated by the Weierstrass points in the Jacobian of the curve $X^4+Y^4+Z^4+3 \,(X^2 Y^2+X^2 Z^2+Y^2 Z^2) =0.$ This curve is the only curve of genus 3, apart from the fourth Fermat curve, possessing exactly twelve Weierstrass points.

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Retrieve articles in Proceedings of the American Mathematical Society with MSC (1991): 11G30, 14H25, 14H45

Martine Girard
Affiliation: Théorie des Nombres, Institut de Mathématiques de Jussieu, 175, rue du Chevaleret, 75013 Paris, France
Email: girard@math.jussieu.fr

Pavlos Tzermias
Affiliation: Department of Mathematics, The University of Arizona, P.O. Box 210089, 617 N. Santa Rita, Tucson, Arizona 85721-0089
Address at time of publication: Department of Mathematics, University of Tennessee, Knoxville, Tennessee 37996-1300
Email: tzermias@math.arizona.edu, tzermias@math.utk.edu

DOI: 10.1090/S0002-9939-01-06193-7
PII: S 0002-9939(01)06193-7
Keywords: Algebraic curves, Jacobians, Weierstrass points
Received by editor(s): September 18, 2000
Posted: August 29, 2001
Communicated by: David E. Rohrlich
Copyright of article: Copyright 2001, American Mathematical Society

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