MARC details
| 000 -LEADER |
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| fixed length control field |
02428cam a2200277 i 4500 |
| 001 - CONTROL NUMBER |
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| control field |
135865 |
| 003 - CONTROL NUMBER IDENTIFIER |
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| control field |
ISI Library, Kolkata |
| 005 - DATE AND TIME OF LATEST TRANSACTION |
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| control field |
20150617114230.0 |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION |
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| fixed length control field |
130912s2014 riu b 001 0 eng |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
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| International Standard Book Number |
9781470410148 (alk. paper) |
| 040 ## - CATALOGING SOURCE |
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| Original cataloging agency |
ISI Library |
| 082 00 - DEWEY DECIMAL CLASSIFICATION NUMBER |
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| Classification number |
510MS |
| Edition number |
23 |
| Item number |
Am512 |
| 100 1# - MAIN ENTRY--PERSONAL NAME |
|---|
| Personal name |
Chai, Ching-Li. |
| 245 10 - TITLE STATEMENT |
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| Title |
Complex multiplication and lifting problems / |
| Statement of responsibility, etc |
Ching-Li Chai, Brian Conrad and Frans Oort. |
| 260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT) |
|---|
| Place of publication, distribution, etc |
Providence : |
| Name of publisher, distributor, etc |
American Mathematical Society, |
| Date of publication, distribution, etc |
c2014. |
| 300 ## - PHYSICAL DESCRIPTION |
|---|
| Extent |
ix, 387 p. : |
| Other physical details |
ill. ; |
| Dimensions |
26 cm. |
| 490 0# - SERIES STATEMENT |
|---|
| Series statement |
Mathematical surveys and monographs ; |
| Volume number/sequential designation |
v 195. |
| 504 ## - BIBLIOGRAPHY, ETC. NOTE |
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| Bibliography, etc |
Includes bibliographical references (pages 379-383) and index. |
| 505 0# - FORMATTED CONTENTS NOTE |
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| Formatted contents note |
Preface --<br/> Introduction --<br/> References --<br/> Notation and terminology - <br/>1. Algebraic Theory of Complex Multiplication --<br/>2. CM lifting over a discrete valuation ring --<br/>3. CM lifting of p-divisible groups --<br/>4. CM Lifting of abelian varieties up to isogeny --<br/>Appendix A: Some arithmetic results for abelian varieties --<br/>Appendix B. CM lifting via p-adic Hodge theory --<br/>Notes on Quotes --<br/>Glossary of Notations --<br/>Bibliography --<br/>Index. |
| 520 ## - SUMMARY, ETC. |
|---|
| Summary, etc |
This book explores the relationship between such abelian varieties over finite fields and over arithmetically interesting fields of characteristic 0 via the study of several natural CM lifting problems which had previously been solved only in special cases. In addition to giving complete solutions to such questions, the authors provide numerous examples to illustrate the general theory and present a detailed treatment of many fundamental results and concepts in the arithmetic of abelian varieties, such as the Main Theorem of Complex Multiplication and its generalizations, the finer aspects of Tate's work on abelian varieties over finite fields, and deformation theory. This book provides an ideal illustration of how modern techniques in arithmetic geometry (such as descent theory, crystalline methods, and group schemes) can be fruitfully combined with class field theory to answer concrete questions about abelian varieties. It will be a useful reference for researchers and advanced graduate students at the interface of number theory and algebraic geometry. -- Provided by publisher. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name as entry element |
Complex Multiplication. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name as entry element |
Abelian varieties. |
| 700 1# - ADDED ENTRY--PERSONAL NAME |
|---|
| Personal name |
Conrad, Brian. |
| 700 1# - ADDED ENTRY--PERSONAL NAME |
|---|
| Personal name |
Oort, Frans. |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) |
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| Source of classification or shelving scheme |
Dewey Decimal Classification |
| Koha item type |
Books |
