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Arithmetic and geometry of the curve y³+1=x⁴

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Publication:4855037
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DOI10.4064/aa-74-3-241-257zbMath0838.14018OpenAlexW859353257MaRDI QIDQ4855037

Edward F. Schaefer, Matt Klassen

Publication date: 9 January 1996

Published in: Acta Arithmetica (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/206850


zbMATH Keywords

isogenyMordell-Weil groupJacobian varietyquartic curveWeierstrass pointsCM elliptic curve


Mathematics Subject Classification ID

Rational points (14G05) Jacobians, Prym varieties (14H40) Cubic and quartic Diophantine equations (11D25) Riemann surfaces; Weierstrass points; gap sequences (14H55)


Related Items (8)

Explicit calculation of the mod 4 Galois representation associated with the Fermat quartic ⋮ Group generated by the Weierstrass points of a plane quartic ⋮ Twists of genus three curves over finite fields ⋮ Families of elliptic curves over cyclic cubic number fields with prescribed torsion ⋮ Automorphism group of plane curve computed by Galois points ⋮ The group of Weierstrass points of a plane quartic with at least eight hyperflexes ⋮ The group of automorphisms of the function fields of the curve \(x^n+y^m+1=0\) ⋮ Geometry of the group of Weierstrass points of a smooth quartic




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