Siegfried Bosch

(Author)

Néron Models (1990)Hardcover - 1990, 12 April 1990

Néron Models (1990)
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Part of Series
Ergebnisse Der Mathematik Und Ihrer Grenzgebiete. 3. Folge /
Part of Series
Ergebnisse der Mathematik Und Ihrer Grenzgebiete
Part of Series
Ergebnisse Der Mathematik Und Ihrer Grenzgebiete. 3. Folge a
Print Length
328 pages
Language
English
Publisher
Springer
Date Published
12 Apr 1990
ISBN-10
3540505873
ISBN-13
9783540505877

Description

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.

Product Details

Authors:
Siegfried BoschWerner LütkebohmertMichel Raynaud
Book Edition:
1990
Book Format:
Hardcover
Country of Origin:
US
Date Published:
12 April 1990
Dimensions:
25.4 x 17.78 x 2.06 cm
ISBN-10:
3540505873
ISBN-13:
9783540505877
Language:
English
Location:
Berlin, Heidelberg
Pages:
328
Publisher:
Weight:
811.93 gm

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