On Second Order Linear Differential Equations with Algebraic Solutions on Algebraic Curves
From MaRDI portal
Publication:3879549
DOI10.2307/2374114zbMath0438.34007OpenAlexW2333036586MaRDI QIDQ3879549
Publication date: 1980
Published in: American Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.2307/2374114
monodromy groupalgebraic curvesRiccati equationpullbacksecond order linear differential equationswronskian
Ordinary differential equations in the complex domain (34M99) Algebraic functions and function fields in algebraic geometry (14H05)
Related Items
An algorithm for solving second order linear homogeneous differential equations ⋮ Solutions of algebraic linear ordinary differential equations ⋮ Differential equations and Lie group representations ⋮ Geometrical aspects of Ziglin's non-integrability theorem for complex Hamiltonian systems ⋮ Differential and difference algebra ⋮ Soluzioni algebriche dell’equazione di Lamé e torsione delle curve ellittiche ⋮ Schwarz maps of algebraic linear ordinary differential equations ⋮ On linear differential equations with reductive Galois group ⋮ Reversible linear differential equations ⋮ On algebraic solutions of Lame's differential equation ⋮ Algebraic solutions of the Lamé equation, revisited. ⋮ Anharmonic solutions to the Riccati equation and elliptic modular functions ⋮ Lamé operators with finite monodromy -- a combinatorial approach ⋮ Lamé operators with projective octahedral and icosahedral monodromies ⋮ Logarithmic singularities of Fuchs equations, and a criterion for the monodromy group to be finite ⋮ Formal solutions of differential equations