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Local Isoformal Deformation Theory for Meromorphic Differential Equations Near an Irregular Singularity

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Deformation Theory of Algebras and Structures and Applications

Part of the book series: NATO ASI Series ((ASIC,volume 247))

Abstract

These lectures will be concerned with isoformal deformations of meromorphic differential equations in the neighborhood of an irregular singular point. The corresponding analytic moduli space is constructed ana is shown tc be the quotient of a complex affine space by an affine algebraic group. This theory is based, among other things, on a deformation theory of nilpotent matrices over fairly general rings that seems to have independent interest.

Research partially supported by NSF Grant DMS# 85-01742.

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© 1988 Kluwer Academic Publishers

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Babbitt, D.G., Varadarajan, V.S. (1988). Local Isoformal Deformation Theory for Meromorphic Differential Equations Near an Irregular Singularity. In: Hazewinkel, M., Gerstenhaber, M. (eds) Deformation Theory of Algebras and Structures and Applications. NATO ASI Series, vol 247. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-3057-5_12

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  • DOI: https://doi.org/10.1007/978-94-009-3057-5_12

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-010-7875-7

  • Online ISBN: 978-94-009-3057-5

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