scientific article; zbMATH DE number 1341970

zbMath0947.14012MaRDI QIDQ4263537

Tetsuji Shioda

Publication date: 12 November 2000

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

zbMATH Keywords

function fieldintersection theoryMordell-Weil grouprational pointJacobian variety

Mathematics Subject Classification ID

Rational points (14G05) Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry (14C17) Jacobians, Prym varieties (14H40) Special surfaces (14J25) Algebraic functions and function fields in algebraic geometry (14H05)

Related Items (25)

Multiple fibrations in Calabi-Yau geometry and string dualities ⋮ Families of curves over \(\mathbb P^1\) with 3 singular fibers ⋮ On Mordell-Weil groups of isotrivial abelian varieties over function fields ⋮ Explicit Arithmetic of Jacobians of Generalized Legendre Curves Over Global Function Fields ⋮ Examples of genus two fibrations with no sections on rational surfaces ⋮ Unnamed Item ⋮ Twists of the Albanese varieties of cyclic multiple planes with large ranks over higher dimension function fields ⋮ An inequality on the Hodge number h1,1 of a fibration and the Mordell-Weil rank ⋮ Extending the geometry of heterotic spectral cover constructions ⋮ Curves and Jacobians over Function Fields ⋮ Maximal Mordell-Weil lattices of fibred surfaces with \(p_g=q=0\) ⋮ Corrigendum to: ``Néron models, Lie algebras, and reduction of curves of genus one and the Brauer group of a surface ⋮ On families of complex curves over \(\mathbb{P}^{1}\) with two singular fibers ⋮ Extremal trigonal fibrations on rational surfaces ⋮ On the Mordell–Weil rank of a surface fibration ⋮ F-theory on quotients of elliptic Calabi-Yau threefolds ⋮ Arithmetic of abelian varieties in Artin-Schreier extensions ⋮ Lower bounds for the rank of families of abelian varieties under base change ⋮ Transversality of sections on elliptic surfaces with applications to elliptic divisibility sequences and geography of surfaces ⋮ Diagonal genus 5 curves, elliptic curves over $\mathbb {Q}(t)$, and rational diophantine quintuples ⋮ Modular curves and Mordell-Weil torsion in F-theory ⋮ Rank and bias in families of hyperelliptic curves via Nagao's conjecture ⋮ On \(\mathbb{Q}\)-split Bézout intersection ⋮ Fibred rational surfaces with extremal Mordell-Weil lattices ⋮ On certain Mordell-Weil lattices of hyperelliptic type on rational surfaces

This page was built for publication: