GENERALIZED SPECIAL LAGRANGIAN TORUS FIBRATION FOR CALABI–YAU HYPERSURFACES IN TORIC VARIETIES I

DOI10.1142/S021919970700240XzbMath1140.14039arXivmath/0303114WikidataQ126176846 ScholiaQ126176846MaRDI QIDQ5297260

Wei-Dong Ruan

Publication date: 18 July 2007

Published in: Communications in Contemporary Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0303114

zbMATH Keywords

Calabi-Yau manifoldsspecial Lagrangian fibration

Mathematics Subject Classification ID

Calabi-Yau manifolds (algebro-geometric aspects) (14J32) Calibrations and calibrated geometries (53C38)

Related Items (4)

\(G_2\)-manifolds and coassociative torus fibration ⋮ Special Lagrangian torus fibrations of complete intersection Calabi-Yau manifolds: a geometric conjecture ⋮ Deformation of special Lagrangian suborbifolds ⋮ Smoothing Calabi–Yau toric hypersurfaces using the Gross–Siebert algorithm

Cites Work

• Calibrated geometries
• Deformations of calibrated submanifolds
• Calibrated fibrations on noncompact manifolds via group actions
• Mirror symmetry is \(T\)-duality
• Lagrangian torus fibration of quintic Calabi-Yau hypersurfaces. II: Technical results on gradient flow construction
• Symplectic manifolds and their Lagrangian submanifolds
• Elliptic Partial Differential Equations of Second Order
• On the ricci curvature of a compact kähler manifold and the complex monge-ampére equation, I

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