Néron Models and Base Change

Released on by Lars Halvard Halle
preview-18

  • Néron Models and Base Change Book Detail

  • Author : Lars Halvard Halle
  • Release Date : 2016-03-02
  • Publisher : Springer
  • Genre : Mathematics
  • Pages : 154
  • ISBN 13 : 3319266381
  • File Size : 83,83 MB
DOWNLOAD BOOK

Néron Models and Base Change by Lars Halvard Halle PDF Summary

Book Description: 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.

Disclaimer: www.yourbookbest.com does not own Néron Models and Base Change books pdf, neither created or scanned. We just provide the link that is already available on the internet, public domain and in Google Drive. If any way it violates the law or has any issues, then kindly mail us via contact us page to request the removal of the link.

Néron Models and Base Change

Néron Models and Base Change

File Size : 53,53 MB
Total View : 7842 Views
DOWNLOAD

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 subtl

Néron Models

Néron Models

File Size : 73,73 MB
Total View : 5185 Views
DOWNLOAD

Néron models were invented by A. Néron in the early 1960s in order to study the integral structure of abelian varieties over number fields. Since then, arithm

A Celebration of Algebraic Geometry

A Celebration of Algebraic Geometry

File Size : 7,7 MB
Total View : 529 Views
DOWNLOAD

This volume resulted from the conference A Celebration of Algebraic Geometry, which was held at Harvard University from August 25-28, 2011, in honor of Joe Harr

Number Theory III

Number Theory III

File Size : 12,12 MB
Total View : 7868 Views
DOWNLOAD

In 1988 Shafarevich asked me to write a volume for the Encyclopaedia of Mathematical Sciences on Diophantine Geometry. I said yes, and here is the volume. By de