Book contents
- Frontmatter
- Contents
- Preface
- PART I Singularities at infinity of polynomial functions
- 1 Regularity conditions at infinity
- 2 Detecting atypical values via singularities at infinity
- 3 Local and global fibrations
- 4 Families of complex polynomials
- 5 Topology of a family and contact structures
- PART II The impact of global polar varieties
- PART III Vanishing cycles of nongeneric pencils
- Appendix 1 Stratified singularities
- Appendix 2 Hints to some exercises
- Notes
- References
- Bibliography
- Index
2 - Detecting atypical values via singularities at infinity
from PART I - Singularities at infinity of polynomial functions
Published online by Cambridge University Press: 29 September 2009
- Frontmatter
- Contents
- Preface
- PART I Singularities at infinity of polynomial functions
- 1 Regularity conditions at infinity
- 2 Detecting atypical values via singularities at infinity
- 3 Local and global fibrations
- 4 Families of complex polynomials
- 5 Topology of a family and contact structures
- PART II The impact of global polar varieties
- PART III Vanishing cycles of nongeneric pencils
- Appendix 1 Stratified singularities
- Appendix 2 Hints to some exercises
- Notes
- References
- Bibliography
- Index
Summary

- Type
- Chapter
- Information
- Polynomials and Vanishing Cycles , pp. 17 - 33Publisher: Cambridge University PressPrint publication year: 2007