---

＜電子ブック＞
Introduction to Stokes Structures / by Claude Sabbah
(Lecture Notes in Mathematics. ISSN:16179692 ; 2060)

版	1st ed. 2013.
出版者	(Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer)
出版年	2013
大きさ	XIV, 249 p. 14 illus., 1 illus. in color : online resource
著者標目	*Sabbah, Claude author SpringerLink (Online service)
件　名	LCSH:Algebraic geometry LCSH:Differential equations LCSH:Approximation theory LCSH:Sequences (Mathematics) LCSH:Functions of complex variables FREE:Algebraic Geometry FREE:Differential Equations FREE:Approximations and Expansions FREE:Sequences, Series, Summability FREE:Several Complex Variables and Analytic Spaces
一般注記	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 HTTP:URL=https://doi.org/10.1007/978-3-642-31695-1

 類似資料