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020   $a9783319266381
024 7 $a10.1007/978-3-319-26638-1$2doi
035   $ab14351389-39ule_inst
040   $aBibl. Dip.le Aggr. Matematica e Fisica - Sez. Matematica$beng
082 04$a516.35$223
084   $aAMS 14K15
084   $aAMS 14G10
084   $aAMS 14G22
084   $aLC QA564-609
100 1 $aHalle, Lars Halvard$0721076
245 10$aNéron Models and Base Change$h[e-book] /$cby Lars Halvard Halle, Johannes Nicaise
260   $aCham :$bSpringer International Publishing,$c2016
300   $a1 online resource (x, 151 p.)
336   $atext$btxt$2rdacontent
337   $aunmediated$bn$2rdamedia
338   $avolume$bnc$2rdacarrier
490 1 $aLecture Notes in Mathematics,$x0075-8434 ;$v2156
505 0 $aNormal 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;}
520   $aPresenting the first systematic treatment of the behavior of Néron models under ramified base change, this book can be read as an introduction to various subtle invariants and constructions related to Néron models of semi-abelian varieties, motivated by concrete research problems and complemented with explicit examples. Néron models of abelian and semi-abelian varieties have become an indispensable tool in algebraic and arithmetic geometry since Néron introduced them in his seminal 1964 paper. Applications range from the theory of heights in Diophantine geometry to Hodge theory. We focus specifically on Néron component groups, Edixhoven?s filtration and the base change conductor of Chai and Yu, and we study these invariants using various techniques such as models of curves, sheaves on Grothendieck sites and non-archimedean uniformization. We then apply our results to the study of motivic zeta functions of abelian varieties. The final chapter contains a list of challenging open questions. This book is aimed towards researchers with a background in algebraic and arithmetic geometry
650  0$aGeometry, Algebraic
650  0$aNumber theory
700 1 $aNicaise, Johannes$eauthor$4http://id.loc.gov/vocabulary/relators/aut$0721075
773 0 $aSpringer eBooks
776 08$iPrinted edition:$z9783319266374
856 40$uhttps://link.springer.com/book/10.1007/978-3-319-26638-1#about$zAn electronic book accessible through the World Wide Web
907   $a.b14351389$b03-03-22$c08-10-18
912   $a991003554909707536
996   $aNéron models and base change$91412588
997   $aUNISALENTO
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