The monodromy group
著者
書誌事項
The monodromy group
(Monografie matematyczne, New series ; v. 67)
Birkhäuser, c2006
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注記
Includes bibliographical references (p. [537]-557) and index
内容説明・目次
内容説明
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. There is a deep connection of monodromy theory with Galois theory of differential equations and algebraic functions. In covering these and other topics, this book underlines the unifying role of the monogropy group.
目次
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.
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