Mordell-Weil lattices for higher genus fibration

DOI10.3792/pjaa.68.247zbMath0788.14021OpenAlexW1967163269MaRDI QIDQ2366798

Tetsuji Shioda

Publication date: 2 June 1994

Published in: Proceedings of the Japan Academy. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3792/pjaa.68.247

zbMATH Keywords

hyperelliptic curvedual latticeMordell-Weil latticesfibred surfacescurve of higher genusquadratic forms on Mordell-Weil groups

Mathematics Subject Classification ID

Rational and ruled surfaces (14J26) Rational points (14G05) Arithmetic ground fields for curves (14H25) Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry (14C17) [https://portal.mardi4nfdi.de/w/index.php?title=+Special%3ASearch&search=%22Curves+of+arbitrary+genus+or+genus+%28%0D%0Ae+1%29+over+global+fields%22&go=Go Curves of arbitrary genus or genus ( e 1) over global fields (11G30)]

Related Items (6)

Generalization of a theorem of Manin-Shafarevich ⋮ Unnamed Item ⋮ Twists of the Albanese varieties of cyclic multiple planes with large ranks over higher dimension function fields ⋮ Lower bounds for the rank of families of abelian varieties under base change ⋮ On \(\mathbb{Q}\)-split Bézout intersection ⋮ On certain Mordell-Weil lattices of hyperelliptic type on rational surfaces

Cites Work

• Mordell-Weil lattices and Galois representation. III
• Construction of elliptic curves with high rank via the invariants of the Weyl groups
• Modèles minimaux des variétés abéliennes sur les corps locaux et globaux
• Algorithm for determining the type of a singular fiber in an elliptic pencil
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