On singular fibres of complex Lagrangian fibrations

Simple item page
dc.creatorMatsushita, Daisuke
dc.date1999-11-22
dc.date.accessioned2026-07-07T05:31:44Z
dc.date.available2026-07-07T05:31:44Z
dc.descriptionWe classify singular fibres over general points of the discriminant locus of projective complex Lagrangian fibrations on 4-dimensional holomorphic symplectic manifolds. The singular fibre F is the following either one: F is isomorphic to the product of an elliptic curve and a Kodaira singular fibre up to finite unramified covering or F is a normal crossing variety consisting of several copies of a minimal elliptic ruled surface of which the dual graph is Dynkin diagram of type A_n, $\tilde{A_n}$, $\tilde{D_n}$ or D_n.
dc.description13 pages 2 figures
dc.identifierhttps://arxiv.org/abs/math/9911164
dc.identifierhttp://arxiv.org/abs/math/9911164
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/79453
dc.subjectAlgebraic Geometry
dc.subject14E35 (Primary) 14D05 (Secondary)
dc.titleOn singular fibres of complex Lagrangian fibrations
dc.typetext

Files

Collections

arXiv