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

Néron types have been invented via A. Néron within the early Nineteen Sixties so as to learn the indispensable constitution of abelian kinds over quantity fields. considering the fact that then, arithmeticians and algebraic geometers have utilized the speculation of Néron types with nice luck. rather lately, new advancements in mathematics algebraic geometry have brought on 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 provide a accomplished remedy of Néron versions. 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 in relation to Jacobian kinds is defined. The authors helpfully remind the reader of a few very important normal options of algebraic geometry. a different bankruptcy surveys the speculation of the Picard functor.

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