Book contents
- Frontmatter
- Contents
- Preface
- Acknowledgments
- 0 Introductory remarks
- Part I Tools of p-adic Analysis
- Part II Differential Algebra
- Part III p-adic Differential Equations on Discs and Annuli
- Part IV Difference Algebra and Frobenius Modules
- Part V Frobenius Structures
- Part VI The p-adic local monodromy theorem
- Part VII Global theory
- 23 Banach rings and their spectra
- 24 The Berkovich projective line
- 25 Convergence polygons
- 26 Index theorems
- 27 Local constancy at type-4 points
- Appendix A Picard–Fuchs modules
- Appendix B Rigid cohomology
- Appendix C p-adic Hodge theory
- References
- Index of notation
- Subject index
25 - Convergence polygons
from Part VII - Global theory
Published online by Cambridge University Press: 06 August 2022
Book contents
- Frontmatter
- Contents
- Preface
- Acknowledgments
- 0 Introductory remarks
- Part I Tools of p-adic Analysis
- Part II Differential Algebra
- Part III p-adic Differential Equations on Discs and Annuli
- Part IV Difference Algebra and Frobenius Modules
- Part V Frobenius Structures
- Part VI The p-adic local monodromy theorem
- Part VII Global theory
- 23 Banach rings and their spectra
- 24 The Berkovich projective line
- 25 Convergence polygons
- 26 Index theorems
- 27 Local constancy at type-4 points
- Appendix A Picard–Fuchs modules
- Appendix B Rigid cohomology
- Appendix C p-adic Hodge theory
- References
- Index of notation
- Subject index
Summary
In this chapter, we reinterpret the discussion of variation of subsidiary radii of a p-adic differential equation in a manner that makes fundamental use of the Berkovich analytification of the projective line.
- Type
- Chapter
- Information
- p-adic Differential Equations , pp. 411 - 422Publisher: Cambridge University PressPrint publication year: 2022