Neron Models and Base Change

Name: Neron Models and Base Change
Brand: Springer International Publishing AG
SKU: 9783319266374
Price: 210.11 RON
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Autor: Lars Halvard Halle, Johannes Nicaise

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Editura: Springer International Publishing AG

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

Informații despre carte

Autor

Lars Halvard Halle, Johannes Nicaise

Limbă

engleză

Legare

Carte - Carte broșată

Publicat

2016

Pagini

151

EAN

9783319266374

ISBN

3319266373

Enbook ID

09931561

Editura

Springer International Publishing AG

Greutate

2584

Dimensiuni

155 x 235 x 8

Descriere completă

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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