Ordinary Differential Equations on Rational Elliptic Surfaces

DOI10.1007/978-1-4471-4863-0_22zbMath1308.14042OpenAlexW195064641MaRDI QIDQ2842069

Hidetaka Sakai

Publication date: 31 July 2013

Published in: Springer Proceedings in Mathematics & Statistics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-1-4471-4863-0_22

zbMATH Keywords

Painlevé equationPainlevé propertyrational elliptic surfaceOguiso-Shioda's classification of rational elliptic surfacessecond order algebraic ordinary differential equation

Mathematics Subject Classification ID

Rational and ruled surfaces (14J26) Painlevé and other special ordinary differential equations in the complex domain; classification, hierarchies (34M55) Arithmetic ground fields for surfaces or higher-dimensional varieties (14J20)

Related Items (3)

Differential equations for the recurrence coefficients of semiclassical orthogonal polynomials and their relation to the Painlevé equations via the geometric approach ⋮ Autonomous limit of the 4-dimensional Painlevé-type equations and degeneration of curves of genus two ⋮ Solution of the equivalence problem for the third Painlevé equation

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