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The group of Weierstrass points of a plane quartic with at least eight hyperflexes

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Publication:5470071
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DOI10.1090/S0025-5718-06-01853-9zbMath1119.14030MaRDI QIDQ5470071

Martine Girard

Publication date: 29 May 2006

Published in: Mathematics of Computation (Search for Journal in Brave)


zbMATH Keywords

JacobianquarticWeierstrass pointhyperflex


Mathematics Subject Classification ID

Jacobians, Prym varieties (14H40) Computational aspects of algebraic curves (14Q05) [https://zbmath.org/classification/?q=cc:11G30 Curves of arbitrary genus or genus ( e 1) over global fields (11G30)] Riemann surfaces; Weierstrass points; gap sequences (14H55)


Related Items

Plane quartics with at least 8 hyperinflection points ⋮ On Weierstrass Points of a Family of Quartic Curves


Uses Software

  • Magma


Cites Work

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  • Points at infinity on the Fermat curves
  • Geometry of the group of Weierstrass points of a smooth quartic
  • Weierstrass points and gap sequences for families of curves
  • Group generated by the Weierstrass points of a plane quartic
  • Sur les sections analytiques de la courbe universelle de Teichmüller
  • On the Jacobian of the Klein Curve
  • Heights and the specialization map for families of abelian varieties.
  • Groupe des points de Weierstrass sur une famille de quartiques lisses
  • Arithmetic and geometry of the curve y³+1=x⁴
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