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Neron Models and Base Change
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Neron Models and Base Change (Paperback)

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the first systematic treatment of the behavior of Neron models under ramified

base change, this book can be read as an introduction to various subtle

invariants and constructions related to Neron models of semi-abelian varieties,

motivated by concrete research problems and complemented with explicit


Neron models of abelian and

semi-abelian varieties have become an indispensable tool in algebraic and

arithmetic geometry since Neron introduced them in his seminal 1964 paper.

Applications range from the theory of heights in Diophantine geometry to Hodge


We focus specifically on Neron component groups, Edixhoven's filtration

and the base change conductor of Chai and Yu, and we study these invariants

using various techniques such as models of curves, sheaves on Grothendieck

sites and non-archimedean uniformization. We then apply our results to the

study of motivic zeta functions of abelian varieties. The final chapter

contains a list of challenging open questions. This book is aimed towards

researchers with a background in algebraic and arithmetic geometry.

Science & MathematicsMathematicsGeometryAlgebraic geometryScience & MathematicsMathematicsNumber theory Publisher: Springer International Publishing AG Publication Date: 03/03/2016 ISBN-13: 9783319266374  Details: Type: Paperback Format: Books
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