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Néron Models and Base Change

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/作者:	Néron Models and Base Change/ by Lars Halvard Halle, Johannes Nicaise.
作者:	Halle, Lars Halvard.
其他作者:	Nicaise, Johannes.
面頁冊數:	X, 151 p.online resource. :
Contained By:	Springer Nature eBook
標題:	Algebraic geometry. -
電子資源:	https://doi.org/10.1007/978-3-319-26638-1
ISBN:	9783319266381

Néron Models and Base Change
Halle, Lars Halvard.

Néron Models and Base Change[electronic resource] /by Lars Halvard Halle, Johannes Nicaise. - 1st ed. 2016. - X, 151 p.online resource. - Lecture Notes in Mathematics,21560075-8434 ;. - Lecture Notes in Mathematics,2144.

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;}.

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.

ISBN: 9783319266381

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

1255324
Algebraic geometry.

LC Class. No.: QA564-609

Dewey Class. No.: 516.35

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505 0 $a 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;}.
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