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Group generated by the Weierstrass points of a plane quartic
Authors:Martine Girard  Pavlos Tzermias
Institution:Théorie des Nombres, Institut de Mathématiques de Jussieu, 175, rue du Chevaleret, 75013 Paris, France ; Department of Mathematics, The University of Arizona, P.O. Box 210089, 617 N. Santa Rita, Tucson, Arizona 85721-0089
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.

Keywords:Algebraic curves  Jacobians  Weierstrass points
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