Group generated by the Weierstrass points of a plane quartic
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- by Martine Girard and Pavlos Tzermias PDF
- Proc. Amer. Math. Soc. 130 (2002), 667-672 Request permission
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.References
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Additional Information
- 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
- Received by editor(s): September 18, 2000
- Published electronically: August 29, 2001
- Communicated by: David E. Rohrlich
- © Copyright 2001 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 130 (2002), 667-672
- MSC (1991): Primary 11G30, 14H25; Secondary 14H45
- DOI: https://doi.org/10.1090/S0002-9939-01-06193-7
- MathSciNet review: 1866017