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＜E-Book＞
Complex multiplication and lifting problems / Ching-Li Chai, Brian Conrad, Frans Oort
(Mathematical Surveys and Monographs. ISSN:23317159 ; v. 195)

Publisher	(Providence, Rhode Island : American Mathematical Society)
Year	[2014]
Size	1 online resource (ix, 387 pages)
Authors	*Chai, Ching-Li author Conrad, Brian 1970- author Oort, Frans 1935- author
Subjects	LCSH:Multiplication, Complex LCSH:Abelian varieties FREE:Number theory -- Arithmetic algebraic geometry (Diophantine geometry) -- Complex multiplication and moduli of abelian varieties  All Subject Search FREE:Algebraic geometry -- Abelian varieties and schemes -- Isogeny  All Subject Search FREE:Algebraic geometry -- Algebraic groups -- Formal groups, $p$-divisible groups  All Subject Search FREE:Algebraic geometry -- Abelian varieties and schemes -- Arithmetic ground fields  All Subject Search FREE:Algebraic geometry -- Families, fibrations -- Formal methods; deformations  All Subject Search
Contents	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
Notes	Includes bibliographical references (pages 379-383) and index Access is restricted to licensed institutions Electronic reproduction Providence, Rhode Island American Mathematical Society 2013 Mode of access : World Wide Web Description based on print version record HTTP:URL=http://www.ams.org/surv/195 Information=Contents HTTP:URL=https://doi.org/10.1090/surv/195 Information=Contents

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