Néron models and base change
著者
書誌事項
Néron models and base change
（Lecture notes in mathematics, 2156）
Springer, c2016
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注記
Includes bibliographical references (p. 149-151)
内容説明・目次
内容説明
Presenting
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
examples.
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
theory.
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.
目次
- Normal 0 false false false EN-US X-NONE X-NONE MicrosoftInternetExplorer4 Introduction.- Preliminaries.- Models of curves and the Neron component series of a Jacobian.- Component groups and non-archimedean uniformization.- The base change conductor and Edixhoven's ltration.- The base change conductor and the Artin conductor.- Motivic zeta functions of semi-abelian varieties.- Cohomological interpretation of the motivic zeta function. /* Style Definitions */ table.MsoNormalTable {mso-style-name:"Table Normal"
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