Complex Multiplication and Lifting Problems (Mathematical Surveys and Monographs, 195, Band 195) - Hardcover

Chai, Ching-Li; Conrad, Brian; Oort, Frans

Hardcover

ISBN 10: 1470410141 ISBN 13: 9781470410148

Verlag: American Mathematical Society, 2014

Inhaltsangabe

Abelian varieties with complex multiplication exist at the origin of class field theory, and they also play a central role in the contemporary theory of Shimura varieties. This book explores the relationship between such Abelian varieties over finite fields and over arithmetically interesting fields. 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 of how modern techniques in arithmetic geometry can combined with class field theory to answer concrete questions about Abelian varieties. It is a useful reference for researchers at the interface of number theory and algebraic geometry lifting problems Annotation ©2014 Ringgold, Inc., Portland, OR (protoview.com)

Über diesen Titel

Über die Autorin bzw. den Autor

Ching-Li Chai, University of Pennsylvania, Philadelphia, PA, USA

Brian Conrad, Stanford University, CA, USA

Frans Oort, University of Utrecht, The Netherlands

Details zur Ausgabe

• Verlag: American Mathematical Society
• Erscheinungsdatum: 2014
• Sprache: Englisch
• ISBN 10: 1470410141
• ISBN 13: 9781470410148
• Einband: Gebundene Ausgabe
• Anzahl der Seiten: 387
• Kontakt zum Hersteller: Nicht verfügbar
• Verantwortliche Person: Mare Nostrum Group B.V.; gpsr@mare-nostrum.co.uk; ; Doelen 72; Breda; 4831 GR; Niederlande