N駻on Models (Paperback) (ISBN-13: 9783642080739)

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

Author: Siegfried Bosch, Werner L?kebohmert, Michel Raynaud
ISBN-10: 3642080731
ISBN-13: 9783642080739
Publisher: Springer
Language: English
Published: 12/01/2010
Pages: 328
Format: Paperback
Weight: 1.19lbs
Size: 9.61h x 6.69w x 0.71d