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Applied Picard–Lefschetz Theory
About this Title
V. A. Vassiliev, Independent University of Moscow, Moscow, Russia
Publication: Mathematical Surveys and Monographs
Publication Year:
2002; Volume 97
ISBNs: 978-0-8218-2948-6 (print); 978-1-4704-1324-8 (online)
DOI: https://doi.org/10.1090/surv/097
MathSciNet review: MR1930577
MSC: Primary 32S40; Secondary 14B05, 14D05
Table of Contents
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Front/Back Matter
Chapters
- I. Local monodromy theory of isolated singularities of functions and complete intersections
- II. Stratified Picard–Lefschetz theory and monodromy of hyperplane sections
- III. Newton’s theorem on the non-integrability of ovals
- IV. Lacunas and local Petrovskiĭ condition for hyperbolic differential operators with constant coefficients
- V. Calculation of local Petrovskiĭ cycles and enumeration of local lacunas close to real singularities
- VI. Homology of local systems, twisted monodromy theory, and regularization of improper integration cycles
- VII. Analytic properties of surface potentials
- VIII. Multidimensional hypergeometric functions, their ramification, singularities, and resonances