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Complex Multiplication and Lifting Problems
About this Title
Ching-Li Chai, University of Pennsylvania, Philadelphia, PA, Brian Conrad, Stanford University, Stanford, CA and Frans Oort, University of Utrecht, Utrecht, The Netherlands
Publication: Mathematical Surveys and Monographs
Publication Year:
2014; Volume 195
ISBNs: 978-1-4704-1014-8 (print); 978-1-4704-1474-0 (online)
DOI: https://doi.org/10.1090/surv/195
MathSciNet review: 3137398
MSC: Primary 14K02; Secondary 11G15, 14D15, 14K15, 14L05
Table of Contents
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Front/Back Matter
Chapters
- Introduction
- Chapter 1. Algebraic theory of complex multiplication
- Chapter 2. CM lifting over a discrete valuation ring
- Chapter 3. CM lifting of $p$-divisible groups
- Chapter 4. CM lifting of abelian varieties up to isogeny
- Appendix A. Some arithmetic results for abelian varieties
- Appendix B. CM lifting via $p$-adic Hodge theory