| 书目名称 | Néron Models and Base Change | | 编辑 | Lars Halvard Halle,Johannes Nicaise | | 视频video | | | 丛书名称 | Lecture Notes in Mathematics | | 图书封面 |  | | 描述 | .Presentingthe first systematic treatment of the behavior of Néron models under ramifiedbase change, this book can be read as an introduction to various subtleinvariants and constructions related to Néron models of semi-abelian varieties,motivated by concrete research problems and complemented with explicitexamples. .Néron models of abelian andsemi-abelian varieties have become an indispensable tool in algebraic andarithmetic geometry since Néron introduced them in his seminal 1964 paper.Applications range from the theory of heights in Diophantine geometry to Hodgetheory. .We focus specifically on Néron component groups, Edixhoven’s filtrationand the base change conductor of Chai and Yu, and we study these invariantsusing various techniques such as models of curves, sheaves on Grothendiecksites and non-archimedean uniformization. We then apply our results to thestudy of motivic zeta functions of abelian varieties. The final chaptercontains alist of challenging open questions. This book is aimed towardsresearchers with a background in algebraic and arithmetic geometry.. | | 出版日期 | Book 2016 | | 关键词 | 14K15, 14H40, 14G22, 14E18; Semi-abelian varieties; Néron models; Jacobians; base change conductor; motiv | | 版次 | 1 | | doi | https://doi.org/10.1007/978-3-319-26638-1 | | isbn_softcover | 978-3-319-26637-4 | | isbn_ebook | 978-3-319-26638-1Series ISSN 0075-8434 Series E-ISSN 1617-9692 | | issn_series | 0075-8434 | | copyright | Springer International Publishing Switzerland 2016 |
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发表于 2025-3-21 17:02:31
