Descent for differential modules and skew fields

Journal of Algebra

Volumn 296, Issue 1, 2006, Pages 18-55

  van Hoeij, Mark ^a   van der Put, Marius ^b  

^a FLORIDA STATE UNIVERSITY   (United States)

^b UNIVERSITY OF GRONINGEN   (Netherlands)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 30344458786     PISSN: 00218693     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jalgebra.2005.09.041     Document Type: Article

References (17)

1. A.S. Amitsur Differential polynomials and division algebras Ann. of Math. (2) 59 1954 245-278
2. A. Blanchard Les corps non commutatifs Collection SUP vol. 9 1972 Presses universitaires de France
3. N. Bourbaki Élements de mathématiques in: Algebres 1958 Hermann Paris Chapitre 8
4. E. Compoint J.-A. Weil Absolute reducibility of differential operators and Galois groups J. Algebra 275 1 2004 77-105
5. G. Fano Über lineare homogene Differentialgleichungen mit algebraischen Relationen zwischen den Fundamentallösungen Math. Ann. 53 4 1900 493-590
6. M. van Hoeij, Factorization of linear differential operators, PhD thesis, University of Nijmegen, 1996
7. N. Katz Exponential Sums and Differential Equations Ann. of Math. Stud. vol. 124 1990 Princeton Univ. Press Princeton, NJ
8. J. Kovacic An algorithm for solving second order linear homogeneous differential equations J. Symbolic Comput. 2 1986 3-43
9. A.H.M. Levelt Jordan decomposition for a class of singular differential operators Ark. Mat. 13 1975 1-27
10. M. van der Put Skew differential fields, differential and difference equations in: Analyse complexe, systèmes dunamiques, sommabilité des séries divergentes et théories galoisiennes. I Astérique 296 2004 191-205
11. M. van der Put Galois properties of linear differential equations Ann. Fac. Sci. Toulouse 13 3 2004 459-475
12. M. van der Put M.F. Singer Galois Theory of Linear Differential Equations Grundlehren Math. Wiss. vol. 328 2003 Springer-Verlag Berlin ISBN 3-540-44228-6
13. G. Renault Algèbre non commutative 1975 Gauthier-Villars Paris
14. I. Reiner Maximal Orders 1975 Academic Press London
15. J.-P. Serre Corps locaux 1968 Hermann Paris
16. M.F. Singer Solving homogeneous linear differential equations in terms of second order linear differential equations Amer. J. Math. 107 1985 663-696
17. R. Sommeling, Characteristic classes for irregular singularities, PhD thesis, University of Nijmegen, 1993