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Field name	Details
Dewey Class	516.35
Title	Néron Models and Base Change ([EBook]) / by Lars Halvard Halle, Johannes Nicaise.
Author	Halle, Lars Halvard
Added Personal Name	Nicaise, Johannes author.
Other name(s)	SpringerLink (Online service)
Edition statement	1st ed. 2016.
Publication	Cham : : Springer International Publishing : : Imprint: Springer, , 2016.
Physical Details	X, 151 p. : online resource.
Series	Lecture Notes in Mathematics 0075-8434 ; ; 2156
ISBN	9783319266381
Summary Note	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.:
Contents note	Normal 0 false false false EN-US X-NONE X-NONE MicrosoftInternetExplorer4 Introduction -- Preliminaries -- Models of curves and the Neron component series of a Jacobian -- Component groups and non-archimedean uniformization -- The base change conductor and Edixhoven's ltration -- The base change conductor and the Artin conductor -- Motivic zeta functions of semi-abelian varieties -- Cohomological interpretation of the motivic zeta function. /* Style Definitions */ table.MsoNormalTable {mso-style-name:"Table Normal"; mso-tstyle-rowband-size:0; mso-tstyle-colband-size:0; mso-style-noshow:yes; mso-style-priority:99; mso-style-qformat:yes; mso-style-parent:""; mso-padding-alt:0in 5.4pt 0in 5.4pt; mso-para-margin-top:0in; mso-para-margin-right:0in; mso-para-margin-bottom:10.0pt; mso-para-margin-left:0in; line-height:115%; mso-pagination:widow-orphan; font-size:11.0pt; font-family:"Calibri","sans-serif"; mso-ascii-font-family:Calibri; mso-ascii-theme-font:minor-latin; mso-fareast-font-family:"Times New Roman"; mso-fareast-theme-font:minor-fareast; mso-hansi-font-family:Calibri; mso-hansi-theme-font:minor-latin; mso-bidi-font-family:"Times New Roman"; mso-bidi-theme-font:minor-bidi;}.
System details note	Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users)
Internet Site	http://dx.doi.org/10.1007/978-3-319-26638-1
Links to Related Works	Subject References: Algebraic Geometry . Mathematics . Number Theory . Authors: Halle, Lars Halvard . Nicaise, Johannes . Corporate Authors: SpringerLink (Online service) . Series: Lecture Notes in Mathematics . Classification: 516.35 .

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Néron Models and Base Change

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