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Titlebook: Divergent Series, Summability and Resurgence I; Monodromy and Resurg Claude Mitschi,David Sauzin Book 2016 Springer International Publishin

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F. Schmäl,M. Nieschalk,E. Nessel,W. StollIn this chapter we show how differential Galois groups are related to monodromy. To learn about differential Galois theory we refer to the following authors: Crespo and Hajto [CH11], Kaplansky [Kap76], Magid [Mag94], Kolchin[Kol76] , van der Put and Singer [PSi01], Singer ([Sin99], [Sin09]).
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F. Schmäl,M. Nieschalk,E. Nessel,W. StollWe are now able to state the . of characterizing those groups that can be realized as the monodromy group or the differential Galois group of some differential system, although an effective construction of such systems remains a difficult problem.
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https://doi.org/10.1007/978-3-642-18927-2At the beginning of the second volume of his New methods of celestial mechanics [Poi87], H. Poincar´e dedicates two pages to elucidating “a kind of misunderstanding between geometers and astronomers about the meaning of the word convergence”.
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Differential Galois TheoryIn this chapter we show how differential Galois groups are related to monodromy. To learn about differential Galois theory we refer to the following authors: Crespo and Hajto [CH11], Kaplansky [Kap76], Magid [Mag94], Kolchin[Kol76] , van der Put and Singer [PSi01], Singer ([Sin99], [Sin09]).
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Inverse ProblemsWe are now able to state the . of characterizing those groups that can be realized as the monodromy group or the differential Galois group of some differential system, although an effective construction of such systems remains a difficult problem.
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