Home » Neron Models (Ergebnisse Der Mathematik Und Ihrer Grenzgebiete. 3. Folge A Series Of Modern Surveys In Mathematics) by Siegfried Bosch
Neron Models (Ergebnisse Der Mathematik Und Ihrer Grenzgebiete. 3. Folge A Series Of Modern Surveys In Mathematics) Siegfried Bosch

Neron Models (Ergebnisse Der Mathematik Und Ihrer Grenzgebiete. 3. Folge A Series Of Modern Surveys In Mathematics)

Siegfried Bosch

Published December 1st 2010
ISBN : 9783642080739
Paperback
328 pages
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 About the Book 

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.MoreNeron 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 Grothendiecks 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.