The Monodromy Group

• Κύριος συγγραφέας: Żołądek, Henryk (Συγγραφέας)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: Basel : Birkhäuser Basel, 2006.
• Σειρά: Monografie Matematyczne ; 67
• Θέματα: 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...

Πίνακας περιεχομένων:

• 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.