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Singularities of Differentiable Maps

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Cover of 'Singularities of Differentiable Maps'

Table of Contents

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    Book Overview
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    Chapter 1 Introduction
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    Chapter 2 Elements of the theory of Picard-Lefschetz
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    Chapter 3 The topology of the non-singular level set and the variation operator of a singularity
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    Chapter 4 The bifurcation sets and the monodromy group of a singularity
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    Chapter 5 The intersection matrices of singularities of functions of two variables
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    Chapter 6 The intersection forms of boundary singularities and the topology of complete intersections
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    Chapter 7 Discussion of results
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    Chapter 8 Elementary integrals and the resolution of singularities of the phase
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    Chapter 9 Asymptotics and Newton polyhedra
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    Chapter 10 The singular index, examples
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    Chapter 11 The simplest properties of the integrals
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    Chapter 12 Complex oscillatory integrals
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    Chapter 13 Integrals and differential equations
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    Chapter 14 The coefficients of series expansions of integrals, the weight and Hodge filtrations and the spectrum of a critical point
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    Chapter 15 The mixed Hodge structure of an isolated critical point of a holomorphic function
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    Chapter 16 The period map and the intersection form
Attention for Chapter 14: The coefficients of series expansions of integrals, the weight and Hodge filtrations and the spectrum of a critical point
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Chapter title
The coefficients of series expansions of integrals, the weight and Hodge filtrations and the spectrum of a critical point
Chapter number 14
Book title
Singularities of Differentiable Maps
Published by
Birkhäuser Boston, January 1988
DOI 10.1007/978-1-4612-3940-6_14
Book ISBNs
978-1-4612-8408-6, 978-1-4612-3940-6
Authors

V. I. Arnold, S. M. Gusein-Zade, A. N. Varchenko, Arnold, V. I., Gusein-Zade, S. M., Varchenko, A. N.

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