U(1)-invariant special Lagrangian 3-folds. III: Properties of singular solutions

DOI10.1016/j.aim.2004.03.016zbMath1080.53047arXivmath/0204343OpenAlexW2081901763WikidataQ56991011 ScholiaQ56991011MaRDI QIDQ1771029

Dominic David Joyce

Publication date: 7 April 2005

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0204343

zbMATH Keywords

Dirichlet problemsingularityspecial Lagrangian submanifoldnonlinear Cauchy-Riemann equation

Mathematics Subject Classification ID

Calabi-Yau manifolds (algebro-geometric aspects) (14J32) Lagrangian submanifolds; Maslov index (53D12) Calibrations and calibrated geometries (53C38)

Related Items (6)

Split Special Lagrangian Geometry ⋮ Special Lagrangian torus fibrations of complete intersection Calabi-Yau manifolds: a geometric conjecture ⋮ Calibrated Submanifolds ⋮ Conjectures on counting associative 3-folds in 𝐺₂-manifolds ⋮ U(1)-invariant special Lagrangian 3-folds. I: Nonsingular solutions ⋮ U(1)-invariant special Lagrangian 3-folds. II: Existence of singular solutions

Cites Work

• Unnamed Item
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• Calibrated geometries
• U(1)-invariant special Lagrangian 3-folds. I: Nonsingular solutions
• U(1)-invariant special Lagrangian 3-folds. II: Existence of singular solutions
• Special Lagrangian submanifolds with isolated conical singularities. V: Survey and applications.
• Special Lagrangian \(m\)-folds in \(\mathbb{C}^m\) with symmetries
• Mirror symmetry is \(T\)-duality
• Singularities of special Lagrangian fibrations and the SYZ conjecture
• Constructing special Lagrangian \(m\)-folds in \(\mathbb{C}^m\) by evolving quadrics

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