Néron Models and Base Change

Nonfiction, Science & Nature, Mathematics, Number Theory, Geometry
Cover of the book Néron Models and Base Change by Lars Halvard Halle, Johannes Nicaise, Springer International Publishing
View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart
Author: Lars Halvard Halle, Johannes Nicaise ISBN: 9783319266381
Publisher: Springer International Publishing Publication: March 2, 2016
Imprint: Springer Language: English
Author: Lars Halvard Halle, Johannes Nicaise
ISBN: 9783319266381
Publisher: Springer International Publishing
Publication: March 2, 2016
Imprint: Springer
Language: English

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.

View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart

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.

More books from Springer International Publishing

Cover of the book State-Space Approaches for Modelling and Control in Financial Engineering by Lars Halvard Halle, Johannes Nicaise
Cover of the book Redox Homeostasis in Plants by Lars Halvard Halle, Johannes Nicaise
Cover of the book Reflections on Programming Systems by Lars Halvard Halle, Johannes Nicaise
Cover of the book Reflection Positivity by Lars Halvard Halle, Johannes Nicaise
Cover of the book Multidisciplinary Management of Chronic Pain by Lars Halvard Halle, Johannes Nicaise
Cover of the book Mathematical Models of Electrical Network Systems by Lars Halvard Halle, Johannes Nicaise
Cover of the book English Language Ideologies in Korea by Lars Halvard Halle, Johannes Nicaise
Cover of the book Knowing, Not-Knowing, and Jouissance by Lars Halvard Halle, Johannes Nicaise
Cover of the book Mental Health Economics by Lars Halvard Halle, Johannes Nicaise
Cover of the book Conventional Nuclear Medicine in Pediatrics by Lars Halvard Halle, Johannes Nicaise
Cover of the book Berichte zur Resistenzmonitoringstudie 2010/2011 by Lars Halvard Halle, Johannes Nicaise
Cover of the book Integrative Approaches to Sustainable Development at University Level by Lars Halvard Halle, Johannes Nicaise
Cover of the book Automation 2018 by Lars Halvard Halle, Johannes Nicaise
Cover of the book Offshore Exploration of Oil and Gas in Cuba using Digital Elevation Models (DEMs) by Lars Halvard Halle, Johannes Nicaise
Cover of the book Principle and Application Progress in Location-Based Services by Lars Halvard Halle, Johannes Nicaise
We use our own "cookies" and third party cookies to improve services and to see statistical information. By using this website, you agree to our Privacy Policy