Introduction to Stokes structures / Claude Sabbah
Type de document : MonographieCollection : Lecture notes in mathematics, 2060Langue : anglais.Pays: Allemagne.Éditeur : Berlin : Springer, cop. 2013Description : 1 vol. (XIV-249 p.) : fig. ; 24 cmISBN: 9783642316944.ISSN: 0075-8434.Bibliographie : Bibliogr. p. 239-243. Index.Sujet MSC : 34-02, Research exposition (monographs, survey articles) pertaining to ordinary differential equations34M03, Ordinary differential equations in the complex domain, Linear ordinary differential equations and systems
34M15, Ordinary differential equations in the complex domain, Algebraic aspects (differential-algebraic, hypertranscendence, group-theoretical)
34M40, Ordinary differential equations in the complex domain, Stokes phenomena and connection problems (linear and nonlinear)En-ligne : Springerlink | Zentralblatt | MathSciNet
| Item type | Current library | Call number | Status | Date due | Barcode |
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Monographie
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CMI Salle 1 | 34 SAB (Browse shelf(Opens below)) | Available | 12164-01 |
Bibliogr. p. 239-243. Index
This research monograph provides a geometric description of holonomic differential systems in one or more variables. Stokes matrices form the extended monodromy data for a linear differential equation of one complex variable near an irregular singular point. The present volume presents the approach in terms of Stokes filtrations. For linear differential equations on a Riemann surface, it also develops the related notion of a Stokes-perverse sheaf.
This point of view is generalized to holonomic systems of linear differential equations in the complex domain, and a general Riemann-Hilbert correspondence is proved for vector bundles with meromorphic connections on a complex manifold. Applications to the distributions solutions to such systems are also discussed, and various operations on Stokes-filtered local systems are analyzed. (Source : Springer)
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