Download E-books Néron Models (Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge / A Series of Modern Surveys in Mathematics) PDF

Néron versions have been invented by means of A. Néron within the early Nineteen Sixties that allows you to examine the crucial constitution of abelian kinds over quantity fields. considering the fact that then, arithmeticians and algebraic geometers have utilized the speculation of Néron versions with nice good fortune. particularly lately, new advancements in mathematics algebraic geometry have caused a wish to comprehend extra approximately Néron versions, or even to return to the fundamentals in their development. The authors have taken this as their incentive to offer a entire remedy of Néron versions. This quantity of the popular "Ergebnisse" sequence offers a close demonstration of the development of Néron versions from the perspective of Grothendieck's algebraic geometry. within the moment a part of the publication the connection among Néron types and the relative Picard functor relating to Jacobian kinds is defined. The authors helpfully remind the reader of a few vital common options of algebraic geometry. a unique bankruptcy surveys the speculation of the Picard functor.

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Read or Download Néron Models (Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge / A Series of Modern Surveys in Mathematics) PDF

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