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
- 20 The p-adic local monodromy theorem
- 21 The p-adic local monodromy theorem: proof
- 22 p-adic monodromy without Frobenius structures
- Part VII Global theory
- Appendix A Picard–Fuchs modules
- Appendix B Rigid cohomology
- Appendix C p-adic Hodge theory
- References
- Index of notation
- Subject index
22 - p-adic monodromy without Frobenius structures
from Part VI - The p-adic local monodromy theorem
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
- 20 The p-adic local monodromy theorem
- 21 The p-adic local monodromy theorem: proof
- 22 p-adic monodromy without Frobenius structures
- Part VII Global theory
- 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 introduce an alternate approach to the p-adic local monodromy theorem, in which we first prove a corresponding statement for solvable differential modules without a Frobenius structure. The argument thus makes minimal use of either p-adic exponents or slope filtrations over Robba rings, at the expense of requiring an application of the basic formalism of Tannakian categories.
- Type
- Chapter
- Information
- p-adic Differential Equations , pp. 374 - 390Publisher: Cambridge University PressPrint publication year: 2022