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
27 - Local constancy at type-4 points
from Part VII - Global theory
Published online by Cambridge University Press: 06 August 2022
- 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
We conclude this discussion by establishing a refined statement about convergence polygons in the neighborhood of a type-4 point.
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- p-adic Differential Equations , pp. 442 - 448Publisher: Cambridge University PressPrint publication year: 2022