The monodromy group [electronic resource] / Henryk Żołądek.

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...

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Bibliographic Details
Online Access: Full Text (via Springer)
Main Author: Żołądek, Henryk, 1953-
Format: Electronic eBook
Language:English
Published: Basel, Switzerland ; Boston : Birkhäuser, ©2006.
Series:Monografie matematyczne ; new ser., v. 67.
Subjects:
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.