Neron Models and Base Change

Name: Neron Models and Base Change
Brand: Springer International Publishing AG
SKU: 9783319266374
Price: 38.16 EUR
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Autor: Lars Halvard Halle, Johannes Nicaise

Jazyk:

Väzba: Brožovaná

Vydavateľ: Springer International Publishing AG

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38.16 €

Presenting§the first systematic treatment of the behavior of Néron models under ramified§base change...

Informácie o knihe

Autor

Lars Halvard Halle, Johannes Nicaise

Jazyk

Angličtina

Väzba

Kniha - Brožovaná

Vydalo

2016

Stránok

151

EAN

9783319266374

ISBN

3319266373

Enbook ID

09931561

Vydavateľ

Springer International Publishing AG

Hmotnosť

2584

Rozmery

155 x 235 x 8

Kompletný popis

Presenting§the first systematic treatment of the behavior of Néron models under ramified§base change, this book can be read as an introduction to various subtle§invariants and constructions related to Néron models of semi-abelian varieties,§motivated by concrete research problems and complemented with explicit§examples. §§Néron models of abelian and§semi-abelian varieties have become an indispensable tool in algebraic and§arithmetic geometry since Néron introduced them in his seminal 1964 paper.§Applications range from the theory of heights in Diophantine geometry to Hodge§theory.§§We focus specifically on Néron 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.§

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