Singularities of Differentiable Maps, Volume 2 Monodromy and Asymptotics of Integrals /
Originally published in the 1980s, Singularities of Differentiable Maps: Monodromy and Asymptotics of Integrals was the second of two volumes that together formed a translation of the authors' influential Russian monograph on singularity theory. This uncorrected softcover reprint of the work br...
Clasificación: | Libro Electrónico |
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Autores principales: | , , |
Autor Corporativo: | |
Formato: | Electrónico eBook |
Idioma: | Inglés |
Publicado: |
Boston, MA :
Birkhäuser Boston : Imprint: Birkhäuser,
2012.
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Edición: | 1st ed. 2012. |
Colección: | Modern Birkhäuser Classics,
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Temas: | |
Acceso en línea: | Texto Completo |
Tabla de Contenidos:
- Part I. The topological structure of isolated critical points of functions
- Introduction
- Elements of the theory of Picard-Lefschetz
- The topology of the non-singular level set and the variation operator of a singularity
- The bifurcation sets and the monodromy group of a singularity
- The intersection matrices of singularities of functions of two variables
- The intersection forms of boundary singularities and the topology of complete intersections
- Part II. Oscillatory integrals
- Discussion of results
- Elementary integrals and the resolution of singularities of the phase
- Asymptotics and Newton polyhedra
- The singular index, examples
- Part III. Integrals of holomorphic forms over vanishing cycles
- The simplest properties of the integrals
- Complex oscillatory integrals
- Integrals and differential equations
- The coefficients of series expansions of integrals, the weighted and Hodge filtrations and the spectrum of a critical point
- The mixed Hodge structure of an isolated critical point of a holomorphic function
- The period map and the intersection form
- References
- Subject Index.