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Record Nr. |
UNISA996466761103316 |
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Autore |
Halle Lars Halvard |
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Titolo |
Néron Models and Base Change [[electronic resource] /] / by Lars Halvard Halle, Johannes Nicaise |
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Pubbl/distr/stampa |
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Cham : , : Springer International Publishing : , : Imprint : Springer, , 2016 |
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ISBN |
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Edizione |
[1st ed. 2016.] |
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Descrizione fisica |
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1 online resource (X, 151 p.) |
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Collana |
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Lecture Notes in Mathematics, , 0075-8434 ; ; 2156 |
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Disciplina |
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Soggetti |
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Algebraic geometry |
Number theory |
Algebraic Geometry |
Number Theory |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Note generali |
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Bibliographic Level Mode of Issuance: Monograph |
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Nota di contenuto |
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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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Sommario/riassunto |
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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. |
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2. |
Record Nr. |
UNINA9911019836803321 |
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Titolo |
Advances in chemical physics . Volume 57 / / edited by I. Prigogine and Stuart A. Rice |
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Pubbl/distr/stampa |
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New York, : Interscience Publishers, 1984 |
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ISBN |
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9786612347122 |
9781282347120 |
1282347128 |
9780470142813 |
0470142812 |
9780470143254 |
0470143258 |
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Descrizione fisica |
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1 online resource (480 p.) |
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Collana |
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Advances in chemical physics ; ; 57 |
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Altri autori (Persone) |
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PrigogineI (Ilya) |
RiceStuart Alan <1932-2024.> |
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Disciplina |
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Soggetti |
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Chemistry, Physical and theoretical |
Chemistry |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Note generali |
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Description based upon print version of record. |
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Nota di bibliografia |
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Includes bibliographical references and index. |
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Sommario/riassunto |
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Part of an open-ended series which helps readers obtain information on a wide variety of topics in chemical physics. Volume LVII features papers by outstanding specialists in such areas as the local mode picture, multimode molecular dynamics, Jahn-Teller trajectories, and the structure, dynamics, and dissipation in hard core molecular liquids. |
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