Strominger-Yau-Zaslow geometry, affine spheres and Painlevé III

DOI10.1007/s00220-009-0861-xzbMath1191.14051arXiv0809.3015OpenAlexW3104152916WikidataQ125783101 ScholiaQ125783101MaRDI QIDQ1048085

Prim Plansangkate, Maciej Dunajski

Publication date: 11 January 2010

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0809.3015

zbMATH Keywords

SYZ conjectureCalabi-Yau metricsPainleve III equations

Mathematics Subject Classification ID

Painlevé and other special ordinary differential equations in the complex domain; classification, hierarchies (34M55) Calabi-Yau theory (complex-analytic aspects) (32Q25) Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with algebraic geometry, complex analysis, and special functions (37K20) Mirror symmetry (algebro-geometric aspects) (14J33)

Related Items (6)

A geometric perspective on the generalized Cobb-Douglas production functions ⋮ Algebroid solutions of the degenerate third Painlevé equation for vanishing formal monodromy parameter ⋮ On modulated coupled systems. Canonical reduction via reciprocal transformations ⋮ Analytic aspects of the Tzitzéica equation: blow-up analysis and existence results ⋮ Survey on real forms of the complex \(A_2^{(2)}\)-Toda equation and surface theory ⋮ On Hybrid Ermakov-Painlevé Systems. Integrable Reduction

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