The Geometry of Toric Hyperk\"ahler Varieties

zbMath1146.53029arXiv0709.1252MaRDI QIDQ3525468

Hiroshi Konno

Publication date: 12 September 2008

Full work available at URL: https://arxiv.org/abs/0709.1252

zbMATH Keywords

Betti numberscohomology ringhyper-Kähler quotients

Mathematics Subject Classification ID

Geometric invariant theory (14L24) Hyper-Kähler and quaternionic Kähler geometry, ``special geometry (53C26) Momentum maps; symplectic reduction (53D20)

Related Items (5)

Ringel duality for perverse sheaves on hypertoric varieties ⋮ Generalized Kazdan-Warner equations associated with a linear action of a torus on a complex vector space ⋮ Lagrangian mean curvature flows and moment maps ⋮ Equivariant cohomology distinguishes the geometric structures of toric hyperkähler manifolds ⋮ The universal covers of hypertoric varieties and Bogomolov's decomposition

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