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
![Book cover: Strings and Geometry](images/5322.jpg)
by M. Douglas, J. Gauntlett, M. Gross - American Mathematical Society
This volume highlights the interface between string theory and algebraic geometry. The topics covered include manifolds of special holonomy, supergravity, supersymmetry, D-branes, the McKay correspondence and the Fourier-Mukai transform.
(13977 views)
![Book cover: Lectures on Curves on Rational and Unirational Surfaces](images/7543.jpg)
by Masayoshi Miyanishi - Tata Institute of Fundamental Research
From the table of contents: Introduction; Geometry of the affine line (Locally nilpotent derivations, Algebraic pencils of affine lines, Flat fibrations by the affine line); Curves on an affine rational surface; Unirational surfaces; etc.
(9632 views)
![Book cover: Homogeneous Spaces and Equivariant Embeddings](images/1982.jpg)
by Dmitri A. Timashev - arXiv
A monograph on homogeneous spaces of algebraic groups and their equivariant embeddings. Some results are supplied with proofs, the other are cited with references to the original papers. The style is intermediate between survey and detailed monograph.
(12284 views)
![Book cover: Ample Subvarieties of Algebraic Varieties](images/10121.jpg)
by Robin Hartshorne - Springer
These notes are an enlarged version of a three-month course of lectures. Their style is informal. I hope they will serve as an introduction to some current research topics, for students who have had a one year course in modern algebraic geometry.
(8303 views)