Titlebook: Introduction to Stokes Structures; Claude Sabbah Book 2013 Springer-Verlag Berlin Heidelberg 2013 34M40, 32C38, 35A27.Meromorphic connecti

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书目名称Introduction to Stokes Structures读者反馈学科排名

Radiation

preservative

The Riemann–Hilbert Correspondence for Holonomic ,-Modules on Curvesperverse sheaves. It is induced from a functor at the derived category level which is compatible with .-structures. Given a discrete set . in ., we first define the functor from the category of .-modules which are holonomic and have regular singularities away from . to that of Stokes-perverse sheave

含沙射影

Applications of the Riemann–Hilbert Correspondence to Holonomic Distributionsis also holonomic. As an application, we make explicit the local expression of a holonomic distribution, that is, a distribution on . (in Schwartz’ sense) which is solution to a nonzero holomorphic differential equation on .. The conclusion is that working with . objects hides the Stokes phenomenon.

高歌

Riemann–Hilbert and Laplace on the Affine Line (the Regular Case). provides the simplest example of an irregular singularity (at infinity). We will describe the Stokes-filtered local system attached to . at infinity in terms of data of .. More precisely, we define the topological Laplace transform of the perverse sheaf . as a perverse sheaf on . equipped with a S

Analogy

Real Blow-Up Spaces and Moderate de Rham Complexes is defined the sheaf of holomorphic functions with moderate growth, whose basic properties are analyzed. The moderate de Rham complex of a meromorphic connection is introduced, and its behaviour under the direct image by a proper modification is explained. This chapter ends with an example of a mod

Detoxification

袭击

The Riemann–Hilbert Correspondence for Good Meromorphic Connections (Case of a Smooth Divisor)t to the parameters. This is the meaning of the goodness condition in the present setting. We will have to treat the Riemann–Hilbert functor in a more invariant way, and more arguments will be needed in the proof of the main result (equivalence of categories) in order to make it global with respect

CHECK

Interlocking

Irregular Nearby Cyclesbraic case. We give a new proof of this theorem when the support of the holonomic .-module has dimension two, which holds in the complex analytic setting and which makes more precise the non-vanishing nearby cycles.