Lagrangian torus fibration and mirror symmetry of Calabi-Yau hypersurface in toric variety

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dc.creatorRuan, Wei-Dong
dc.date2000-07-05
dc.date.accessioned2026-07-07T04:36:15Z
dc.date.available2026-07-07T04:36:15Z
dc.descriptionIn this paper we give a construction of Lagrangian torus fibration for Calabi-Yau hypersurface in toric variety via the method of gradient flow. Using our construction of Lagrangian torus fibration, we are able to prove the symplectic topological version of SYZ mirror conjecture for generic Calabi-Yau hypersurface in toric variety. We will also be able to give precise formulation of SYZ mirror conjecture in general (including singular locus and duality of singular fibres).
dc.description60 pages. More references will be added later
dc.identifierhttps://arxiv.org/abs/math/0007028
dc.identifierhttp://arxiv.org/abs/math/0007028
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/59530
dc.subjectDifferential Geometry
dc.subjectAlgebraic Geometry
dc.subjectSymplectic Geometry
dc.titleLagrangian torus fibration and mirror symmetry of Calabi-Yau hypersurface in toric variety
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