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Neron models and base change[electro...

Halle, Lars Halvard.

Neron models and base change[electronic resource] /

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
杜威分類號:	516.35
書名/作者:	Neron models and base change/ by Lars Halvard Halle, Johannes Nicaise.
作者:	Halle, Lars Halvard.
其他作者:	Nicaise, Johannes.
出版者:	Cham : : Springer International Publishing :, 2016.
面頁冊數:	x, 151 p. : : ill., digital ;; 24 cm.
Contained By:	Springer eBooks
標題:	Neron models.
標題:	Mathematics.
標題:	Algebraic Geometry.
標題:	Number Theory.
ISBN:	9783319266381
ISBN:	9783319266374
摘要、提要註:	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.
電子資源:	http://dx.doi.org/10.1007/978-3-319-26638-1

Neron models and base change[electronic resource] /
Halle, Lars Halvard.

Neron models and base change[electronic resource] /by Lars Halvard Halle, Johannes Nicaise. - Cham :Springer International Publishing :2016. - x, 151 p. :ill., digital ;24 cm. - Lecture notes in mathematics,21560075-8434 ;. - Lecture notes in mathematics ;2035..

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.

ISBN: 9783319266381

Standard No.: 10.1007/978-3-319-26638-1doiSubjects--Topical Terms:

639862
Neron models.

LC Class. No.: QA564

Dewey Class. No.: 516.35

Neron models and base change[electronic resource] /
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