Format:
1 Online-Ressource (X, 325 Sieten)
,
Diagramme
ISBN:
9783642514388
Series Statement:
Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge Band 21
Content:
Néron models were invented by A. Néron in the early 1960s in order to study the integral structure of abelian varieties over number fields. Since then, arithmeticians and algebraic geometers have applied the theory of Néron models with great success. Quite recently, new developments in arithmetic algebraic geometry have prompted a desire to understand more about Néron models, and even to go back to the basics of their construction. The authors have taken this as their incentive to present a comprehensive treatment of Néron models. This volume of the renowned "Ergebnisse" series provides a detailed demonstration of the construction of Néron models from the point of view of Grothendieck's algebraic geometry. In the second part of the book the relationship between Néron models and the relative Picard functor in the case of Jacobian varieties is explained. The authors helpfully remind the reader of some important standard techniques of algebraic geometry. A special chapter surveys the theory of the Picard functor
Additional Edition:
Erscheint auch als Druck-Ausgabe, Festeinband ISBN 978-3-540-50587-7
Additional Edition:
Erscheint auch als Druck-Ausgabe, Broschur (Reprint) ISBN 978-3-642-08073-9
Additional Edition:
Erscheint auch als Druck-Ausgabe, Broschur ISBN 978-0-387-50587-9
Language:
English
Subjects:
Mathematics
Keywords:
Algebraische Geometrie
;
Varietät
;
Néron-Modell
DOI:
10.1007/978-3-642-51438-8
URL:
Volltext
(URL des Erstveröffentlichers)
Author information:
Raynaud, Michel 1938-
Author information:
Bosch, Siegfried 1944-
Author information:
Lütkebohmert, Werner
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