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 through A. Néron within the early Nineteen Sixties as a way to learn the imperative constitution of abelian forms over quantity fields. considering that then, arithmeticians and algebraic geometers have utilized the speculation of Néron types with nice good fortune. relatively lately, new advancements in mathematics algebraic geometry have caused a wish to comprehend extra approximately Néron types, or even to return to the fundamentals in their building. The authors have taken this as their incentive to give a accomplished remedy of Néron types. This quantity of the well known "Ergebnisse" sequence presents an in depth demonstration of the development of Néron types from the viewpoint of Grothendieck's algebraic geometry. within the moment a part of the ebook the connection among Néron versions and the relative Picard functor relating to Jacobian kinds is defined. The authors helpfully remind the reader of a few vital ordinary options of algebraic geometry. a distinct bankruptcy surveys the idea of the Picard functor.

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