SHIODA-TATE FORMULA FOR AN ABELIAN FIBERED VARIETY AND APPLICATIONS

DOI10.4134/JKMS.2009.46.2.237zbMath1183.14015arXivmath/0703245OpenAlexW2147917762MaRDI QIDQ3632000

Keiji Oguiso

Publication date: 23 June 2009

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

Full work available at URL: https://arxiv.org/abs/math/0703245

zbMATH Keywords

Mordell-Weil groupabelian fibration

Mathematics Subject Classification ID

(K3) surfaces and Enriques surfaces (14J28) Fibrations, degenerations in algebraic geometry (14D06) Picard groups (14C22) (n)-folds ((n>4)) (14J40)

Related Items (12)

Numerical equivalence of \(\mathbb{R} \)-divisors and Shioda-Tate formula for arithmetic varieties ⋮ Singular fibers of very general Lagrangian fibrations ⋮ Picard number of the generic fiber of an abelian fibered hyperkähler manifold ⋮ Birational geometry of the intermediate Jacobian fibration of a cubic fourfold (appendix by Claire Voisin) ⋮ An inequality on the Hodge number h1,1 of a fibration and the Mordell-Weil rank ⋮ On the Kobayashi Pseudometric, Complex Automorphisms and Hyperkähler Manifolds ⋮ On the discriminant locus of a Lagrangian fibration ⋮ Deformations of holomorphic Lagrangian fibrations ⋮ A finiteness theorem for Lagrangian fibrations ⋮ K3 fibrations on rigid double octic Calabi–Yau threefolds ⋮ Fibrations on four-folds with trivial canonical bundles ⋮ Computing Néron–Severi groups and cycle class groups

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