Neron Models (Paperback, Softcover reprint of the original 1st ed. 1990)

Neron models were invented by A. Neron 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 Neron models with great success. Quite recently, new developments in arithmetic algebraic geometry have prompted a desire to understand more about Neron 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 Neron models. This volume of the renowned "Ergebnisse" series provides a detailed demonstration of the construction of Neron models from the point of view of Grothendieck's algebraic geometry. In the second part of the book the relationship between Neron 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.

General

Imprint:	Springer-Verlag
Country of origin:	Germany
Series:	Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge / A Series of Modern Surveys in Mathematics, 21
Release date:	December 2010
First published:	1990
Authors:	Siegfried Bosch • Werner L utkebohmert • Michel Raynaud
Dimensions:	244 x 170 x 18mm (L x W x T)
Format:	Paperback
Pages:	328
Edition:	Softcover reprint of the original 1st ed. 1990
ISBN-13:	978-3-642-08073-9
Categories:	Books > Science & Mathematics > Mathematics > Geometry > Algebraic geometry
LSN:	3-642-08073-1
Barcode:	9783642080739

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