Picard number of the generic fiber of an abelian fibered hyperkähler manifold

DOI10.1007/s00208-009-0335-7zbMath1222.14019arXiv0803.1205OpenAlexW1990564946MaRDI QIDQ2391107

Keiji Oguiso

Publication date: 24 July 2009

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0803.1205

Mathematics Subject Classification ID

(K3) surfaces and Enriques surfaces (14J28) Hyper-Kähler and quaternionic Kähler geometry, ``special geometry (53C26) Fibrations, degenerations in algebraic geometry (14D06) Picard groups (14C22) Compact Kähler manifolds: generalizations, classification (32J27) (n)-folds ((n>4)) (14J40)

Related Items (7)

Parabolic automorphisms of hyperkähler manifolds ⋮ 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 ⋮ Topology of Lagrangian fibrations and Hodge theory of hyper-Kähler manifolds ⋮ Lagrangian fibrations ⋮ The Noether-Lefschetz conjecture and generalizations

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