On the inverse problem in di¤erential Galois theory

DOI10.1515/crll.2005.2005.586.21zbMath1090.12003OpenAlexW2042569408MaRDI QIDQ5694469

Julia Hartmann

Publication date: 30 September 2005

Published in: Journal für die reine und angewandte Mathematik (Crelles Journal) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/crll.2005.2005.586.21

zbMATH Keywords

inverse problemdifferential Galois theory

Mathematics Subject Classification ID

Inverse Galois theory (12F12) Differential algebra (12H05)

Related Items (12)

Linear algebraic groups as parameterized Picard-Vessiot Galois groups ⋮ Degree bound for toric envelope of a linear algebraic group ⋮ New classes of parameterized differential Galois groups ⋮ DIFFERENCE ALGEBRAIC RELATIONS AMONG SOLUTIONS OF LINEAR DIFFERENTIAL EQUATIONS ⋮ A reduced form for linear differential systems and its application to integrability of Hamiltonian systems ⋮ Algebraic groups as difference Galois groups of linear differential equations ⋮ LARGE FIELDS IN DIFFERENTIAL GALOIS THEORY ⋮ Differential embedding problems over complex function fields ⋮ Differential embedding problems over Laurent series fields ⋮ On the generalized Riemann--Hilbert problem with irregular singularities ⋮ Differential Galois groups over Laurent series fields ⋮ Free differential Galois groups

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