LEADER 04451nam 22006375 450 001 996466761103316 005 20200629171318.0 010 $a3-319-26638-1 024 7 $a10.1007/978-3-319-26638-1 035 $a(CKB)3710000000627459 035 $a(SSID)ssj0001659720 035 $a(PQKBManifestationID)16441274 035 $a(PQKBTitleCode)TC0001659720 035 $a(PQKBWorkID)14989391 035 $a(PQKB)11512132 035 $a(DE-He213)978-3-319-26638-1 035 $a(MiAaPQ)EBC6295813 035 $a(MiAaPQ)EBC5592679 035 $a(Au-PeEL)EBL5592679 035 $a(OCoLC)944120420 035 $a(PPN)192282573 035 $a(EXLCZ)993710000000627459 100 $a20160302d2016 u| 0 101 0 $aeng 135 $aurnn|008mamaa 181 $ctxt 182 $cc 183 $acr 200 10$aNéron Models and Base Change$b[electronic resource] /$fby Lars Halvard Halle, Johannes Nicaise 205 $a1st ed. 2016. 210 1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2016. 215 $a1 online resource (X, 151 p.) 225 1 $aLecture Notes in Mathematics,$x0075-8434 ;$v2156 300 $aBibliographic Level Mode of Issuance: Monograph 311 $a3-319-26637-3 327 $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;}. 330 $aPresenting the first systematic treatment of the behavior of Néron models under ramified base change, this book can be read as an introduction to various subtle invariants and constructions related to Néron models of semi-abelian varieties, motivated by concrete research problems and complemented with explicit examples. Néron models of abelian and semi-abelian varieties have become an indispensable tool in algebraic and arithmetic geometry since Néron introduced them in his seminal 1964 paper. Applications range from the theory of heights in Diophantine geometry to Hodge theory. We focus specifically on Néron component groups, Edixhoven?s filtration and the base change conductor of Chai and Yu, and we study these invariants using various techniques such as models of curves, sheaves on Grothendieck sites and non-archimedean uniformization. We then apply our results to the study of motivic zeta functions of abelian varieties. The final chapter contains a list of challenging open questions. This book is aimed towards researchers with a background in algebraic and arithmetic geometry. 410 0$aLecture Notes in Mathematics,$x0075-8434 ;$v2156 606 $aAlgebraic geometry 606 $aNumber theory 606 $aAlgebraic Geometry$3https://scigraph.springernature.com/ontologies/product-market-codes/M11019 606 $aNumber Theory$3https://scigraph.springernature.com/ontologies/product-market-codes/M25001 615 0$aAlgebraic geometry. 615 0$aNumber theory. 615 14$aAlgebraic Geometry. 615 24$aNumber Theory. 676 $a516.35 700 $aHalle$b Lars Halvard$4aut$4http://id.loc.gov/vocabulary/relators/aut$0721076 702 $aNicaise$b Johannes$4aut$4http://id.loc.gov/vocabulary/relators/aut 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a996466761103316 996 $aNéron Models and Base Change$92169021 997 $aUNISA LEADER 01739nam 2200397 n 450 001 996383674303316 005 20221108102356.0 035 $a(CKB)1000000000581250 035 $a(EEBO)2240941929 035 $a(UnM)99846939 035 $a(EXLCZ)991000000000581250 100 $a19911113d1512 uy | 101 0 $alat 135 $aurbn||||a|bb| 200 00$aWhyttyntoni lychfeldiensis editio. 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De syllabarum quantitate. 300 $aPlace of publication and printer's name from colophon at end of part 2; publication date conjectured by STC. 300 $aIn two parts; part 2 has caption title, reading: Whittyntoni editio cum interpretamento Francisci Nigri diomedes de accentu in pedestri oratione potius quam soluta obseruando. 300 $aFormerly STC 25525. 300 $aIdentified as STC 25525 on UMI microfilm. 300 $aReproduction of the original in the Bodleian Library. 330 $aeebo-0014 606 $aLatin language$xMetrics and rhythmics$vEarly works to 1800 615 0$aLatin language$xMetrics and rhythmics 700 $aWhittington$b Robert$fd. ca. 1560.$01000899 701 $aNegro$b Pescennio Francesco$fb. 1452.$01002714 801 0$bCu-RivES 801 1$bCu-RivES 801 2$bCStRLIN 801 2$bWaOLN 906 $aBOOK 912 $a996383674303316 996 $aWhyttyntoni lychfeldiensis editio. 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Rice 210 $aNew York $cInterscience Publishers$d1984 215 $a1 online resource (480 p.) 225 1 $aAdvances in chemical physics ;$v57 300 $aDescription based upon print version of record. 311 08$a9780471878308 311 08$a0471878308 320 $aIncludes bibliographical references and index. 330 $aPart of an open-ended series which helps readers obtain information on a wide variety of topics in chemical physics. 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