Book contents
- Frontmatter
- Dedication
- Contents
- Preface to the second edition
- Preface to the first edition
- List of Symbols
- Part I Combinatorial Enumeration
- Part II Mathematical Background
- 4 Fourier–Laplace integrals in one variable
- 5 Multivariate Fourier–Laplace integrals
- 6 Laurent series, amoebas, and convex geometry
- Part III Multivariate Enumeration
- Appendix A Integration on manifolds
- Appendix B Algebraic topology
- Appendix C Residue forms and classical Morse theory
- Appendix D Stratification and stratified Morse theory
- References
- Author Index
- Subject Index
6 - Laurent series, amoebas, and convex geometry
from Part II - Mathematical Background
Published online by Cambridge University Press: 08 February 2024
Book contents
- Frontmatter
- Dedication
- Contents
- Preface to the second edition
- Preface to the first edition
- List of Symbols
- Part I Combinatorial Enumeration
- Part II Mathematical Background
- 4 Fourier–Laplace integrals in one variable
- 5 Multivariate Fourier–Laplace integrals
- 6 Laurent series, amoebas, and convex geometry
- Part III Multivariate Enumeration
- Appendix A Integration on manifolds
- Appendix B Algebraic topology
- Appendix C Residue forms and classical Morse theory
- Appendix D Stratification and stratified Morse theory
- References
- Author Index
- Subject Index
Summary
This chapter discusses assorted topics related to algebraic varieties and singular sets of multivariate rational functions. In particular, we cover Laurent expansions, polynomial amoebas, convex geometry, and bounds for generating function coefficients from so-called minimal points of singular sets.
- Type
- Chapter
- Information
- Analytic Combinatorics in Several Variables , pp. 134 - 166Publisher: Cambridge University PressPrint publication year: 2024