Formal reduction theory of meromorphic differential equations: a group theoretic view
From MaRDI portal
Publication:789580
DOI10.2140/pjm.1983.109.1zbMath0533.34010OpenAlexW2004147456MaRDI QIDQ789580
Donald G. Babbitt, V. S. Varadarajan
Publication date: 1983
Published in: Pacific Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.2140/pjm.1983.109.1
Linear ordinary differential equations and systems (34A30) Differential algebra (12H05) Asymptotic expansions of solutions to ordinary differential equations (34E05)
Related Items
Local moduli for meromorphic differential equations ⋮ Gérard-Levelt membranes ⋮ An algorithm to compute the exponential part of a formal fundamental matrix solution of a linear differential system ⋮ Effective estimates for global relations on Euler-type series ⋮ Arnold normal form and formal reduction of system of linear difference equations ⋮ Index of rigidity of differential equations and Euler characteristic of their spectral curves ⋮ On \(k\)-simple forms of first-order linear differential systems and their computation ⋮ Opers with irregular singularity and spectra of the shift of argument subalgebra ⋮ Middle convolution and Harnad duality ⋮ Four-dimensional Painlevé-type equations associated with ramified linear equations. III: Garnier systems and Fuji-Suzuki systems ⋮ Equivalent quantum systems ⋮ Quadratic relations between periods of connections ⋮ Meromorphic parahoric Higgs torsors and filtered Stokes G-local systems on curves ⋮ Simple forms of higher-order linear differential systems and their applications in computing regular solutions ⋮ Formal reduction of singular linear differential systems using eigenrings: a refined approach ⋮ Jordan Decomposition for Formal G-Connections ⋮ Moduli spaces of meromorphic connections and quiver varieties ⋮ Unnamed Item ⋮ Linear meromorphic differential equations: A modern point of view ⋮ On Additive Deligne–Simpson Problems ⋮ Applications of Quiver Varieties to Moduli Spaces of Connections on $$\mathbb {P}^1$$ ⋮ Rank 2 bundles with meromorphic connections with poles of Poincaré rank 1 ⋮ Riemann-Hilbert for tame complex parahoric connections ⋮ Generic radius of convergence of differential equations with polynomial coefficients over a number field ⋮ Rank reduction, normal forms and Stokes matrices ⋮ Symplectic manifolds and isomonodromic deformations ⋮ Cluster varieties from Legendrian knots ⋮ Poisson varieties from Riemann surfaces ⋮ On the Moser- and super-reduction algorithms of systems of linear differential equations and their complexity ⋮ Counting Borel orbits in symmetric spaces of types BI and CII ⋮ Preservation of depth in the local geometric Langlands correspondence ⋮ Opers for higher states of quantum KdV models ⋮ Computation of formal fundamental solutions ⋮ Fuchsian bispectral operators ⋮ Quantum systems simulatability through classical networks