**Introduction to Stokes Structures**

by Claude Sabbah

**Publisher**: arXiv 2010**Number of pages**: 157

**Description**:

The purpose of these lectures is to introduce the notion of a Stokes-perverse sheaf as a receptacle for the Riemann-Hilbert correspondence for holonomic D-modules. They develop the original idea of P. Deligne in dimension one, and make it enter the frame of perverse sheaves. They also give a first step for a general definition in higher dimension, and make explicit particular cases of the Riemann-Hilbert correspondence, relying on recent results of T. Mochizuki.

Download or read it online for free here:

**Download link**

(1.2MB, PDF)

## Similar books

**Modular Functions and Modular Forms**

by

**J. S. Milne**

This is an introduction to the arithmetic theory of modular functions and modular forms, with an emphasis on the geometry. Prerequisites are the algebra and complex analysis usually covered in advanced undergraduate or first-year graduate courses.

(

**8740**views)

**Introduction to Algebraic Geometry**

by

**Yuriy Drozd**

From the table of contents: Affine Varieties; Ideals and varieties. Hilbert's Basis Theorem. Regular functions and regular mappings. Projective and Abstract Varieties; Dimension Theory; Regular and singular points; Intersection theory.

(

**7756**views)

**Geometry Unbound**

by

**Kiran S. Kedlaya**

This is not a typical math textbook, it does not present full developments of key theorems, but it leaves strategic gaps in the text for the reader to fill in. The original text underlying this book was a set of notes for the Math Olympiad Program.

(

**10808**views)

**Quasi-Projective Moduli for Polarized Manifolds**

by

**Eckart Viehweg**-

**Springer**

This book discusses two subjects of quite different nature: Construction methods for quotients of quasi-projective schemes by group actions or by equivalence relations and properties of direct images of certain sheaves under smooth morphisms.

(

**7307**views)