# 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: http://dx.doi.org/10.1090/surv/097

MathSciNet review: MR1930577

MSC: Primary 32S40; Secondary 14B05, 14D05

### Table of Contents

**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