Characteristic foliation on the discriminantal hypersurface of a holomorphic Lagrangian fibration

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dc.creatorHwang, Jun-Muk
dc.creatorOguiso, Keiji
dc.date2007-10-12
dc.date.accessioned2026-07-07T08:35:56Z
dc.date.available2026-07-07T08:35:56Z
dc.descriptionWe give a Kodaira-type classification of general singular fibers of a holomorphic Lagrangian fibration in Fujiki's class $\mathcal C$. Our approach is based on the study of the characteristic vector field of the discriminantal hypersurface, which naturally arises from the defining equation of the hypersurface via the symplectic form. As an application, we show that the characteristic foliation of the discriminantal hypersurface has algebraic leaves which are either rational curves or smooth elliptic curves.
dc.identifierhttps://arxiv.org/abs/0710.2376
dc.identifierhttp://arxiv.org/abs/0710.2376
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/139906
dc.subjectAlgebraic Geometry
dc.subject14D06, 14J40, 32M05, 32M25
dc.titleCharacteristic foliation on the discriminantal hypersurface of a holomorphic Lagrangian fibration
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