The Monodromy Group

• Main Author: Żołądek, Henryk (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Basel : Birkhäuser Basel, 2006.
• Series: Monografie Matematyczne ; 67
• Subjects: Mathematics.; Algebra.; Functions of complex variables.; Differential equations.; Special functions.; Algebraic topology.; Algebraic Topology.; Functions of a Complex Variable.; Ordinary Differential Equations.; Special Functions.

In singularity theory and algebraic geometry the monodromy group is embodied in the Picard-Lefschetz formula and the Picard-Fuchs equations. It has applications in the weakened 16th Hilbert problem and in mixed Hodge structures. In the theory of systems of linear differential equations one has the R...

Table of Contents:

• Analytic Functions and Morse Theory
• Normal Forms of Functions
• Algebraic Topology of Manifolds
• Topology and Monodromy of Functions
• Integrals along Vanishing Cycles
• Vector Fields and Abelian Integrals
• Hodge Structures and Period Map
• Linear Differential Systems
• Holomorphic Foliations. Local Theory
• Holomorphic Foliations. Global Aspects
• The Galois Theory
• Hypergeometric Functions.