Group generated by the Weierstrass points of a plane quartic

DOI10.1090/S0002-9939-01-06193-7zbMath1001.14013OpenAlexW1586175698MaRDI QIDQ2759011

Martine Girard, Pavlos Tzermias

Publication date: 10 December 2001

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9939-01-06193-7

zbMATH Keywords

JacobiansWeierstrass points

Mathematics Subject Classification ID

Special algebraic curves and curves of low genus (14H45) Jacobians, Prym varieties (14H40) Riemann surfaces; Weierstrass points; gap sequences (14H55)

Related Items (5)

Group generated by total sextactic points of Kuribayashi quartic curve ⋮ On Weierstrass Points of a Family of Quartic Curves ⋮ The group of Weierstrass points of a plane quartic with at least eight hyperflexes ⋮ Computation of Sets of Rational Points of Genus-3 Curves via the Dem'Janenko–Manin Method ⋮ Geometry of the group of Weierstrass points of a smooth quartic

Cites Work

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• Points at infinity on the Fermat curves
• On the Jacobian of the Klein Curve
• Courbes elliptiques de rang ≥ 5 sur Q(t) avec un groupe de torsion isomorphe à Z/2Z × Z/2Z
• Groupe des points de Weierstrass sur une famille de quartiques lisses
• Arithmetic and geometry of the curve y³+1=x⁴
• Tata lectures on theta. II: Jacobian theta functions and differential equations. With the collaboration of C. Musili, M. Nori, E. Previato, M. Stillman, and H. Umemura

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