Some Problems of Unlikely Intersections in Arithmetic and Geometry:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Princeton
Princeton University Press
2012
|
| Schriftenreihe: | Annals of mathematics studies
no. 181 |
| Schlagworte: | |
| Online-Zugang: | FAW01 FAW02 Volltext |
| Beschreibung: | This book considers the so-called Unlikely Intersections, a topic that embraces well-known issues, such as Lang's and Manin-Mumford's, concerning torsion points in subvarieties of tori or abelian varieties. More generally, the book considers algebraic subgroups that meet a given subvariety in a set of unlikely dimension. The book is an expansion of the Hermann Weyl Lectures delivered by Umberto Zannier at the Institute for Advanced Study in Princeton in May 2010. The book consists of four chapters and seven brief appendixes, the last six by David Masser. The first chapter considers multipli Cover; Title; Copyright; Contents; Preface; Notation and Conventions; Introduction: An Overview of Some Problems of Unlikely Intersections; 1 Unlikely Intersections in Multiplicative Groups and the Zilber Conjecture; 1.1 Torsion points on subvarieties of G; 1.2 Higher multiplicative rank; 1.3 Remarks on Theorem 1.3 and its developments; 1.3.1 Fields other than Q; 1.3.2 Weakened assumptions; 1.3.3 Unlikely intersections of positive dimension and height bounds; 1.3.4 Unlikely intersections of positive dimension and Zilber's conjecture Includes bibliographical references and index |
| Beschreibung: | 1 Online-Ressource (175 pages) |
| ISBN: | 0691153701 069115371X 1400842719 9780691153704 9780691153711 9781400842711 |
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| 490 | 0 | |a Annals of mathematics studies |v no. 181 | |
| 500 | |a This book considers the so-called Unlikely Intersections, a topic that embraces well-known issues, such as Lang's and Manin-Mumford's, concerning torsion points in subvarieties of tori or abelian varieties. More generally, the book considers algebraic subgroups that meet a given subvariety in a set of unlikely dimension. The book is an expansion of the Hermann Weyl Lectures delivered by Umberto Zannier at the Institute for Advanced Study in Princeton in May 2010. The book consists of four chapters and seven brief appendixes, the last six by David Masser. The first chapter considers multipli | ||
| 500 | |a Cover; Title; Copyright; Contents; Preface; Notation and Conventions; Introduction: An Overview of Some Problems of Unlikely Intersections; 1 Unlikely Intersections in Multiplicative Groups and the Zilber Conjecture; 1.1 Torsion points on subvarieties of G; 1.2 Higher multiplicative rank; 1.3 Remarks on Theorem 1.3 and its developments; 1.3.1 Fields other than Q; 1.3.2 Weakened assumptions; 1.3.3 Unlikely intersections of positive dimension and height bounds; 1.3.4 Unlikely intersections of positive dimension and Zilber's conjecture | ||
| 500 | |a Includes bibliographical references and index | ||
| 650 | 4 | |a Algebraic geometry | |
| 650 | 7 | |a MATHEMATICS / Geometry / Algebraic |2 bisacsh | |
| 650 | 7 | |a Algebraic varieties |2 fast | |
| 650 | 7 | |a Geometry, Algebraic |2 fast | |
| 650 | 7 | |a Intersection theory |2 fast | |
| 650 | 4 | |a Intersection theory | |
| 650 | 4 | |a Algebraic varieties | |
| 650 | 4 | |a Geometry, Algebraic | |
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Datensatz im Suchindex
| _version_ | 1804175537745166336 |
|---|---|
| any_adam_object | |
| author | Zannier, Umberto |
| author_facet | Zannier, Umberto |
| author_role | aut |
| author_sort | Zannier, Umberto |
| author_variant | u z uz |
| building | Verbundindex |
| bvnumber | BV043114504 |
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| ctrlnum | (OCoLC)775873005 (DE-599)BVBBV043114504 |
| dewey-full | 516.3/5 516.35 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 516 - Geometry |
| dewey-raw | 516.3/5 516.35 |
| dewey-search | 516.3/5 516.35 |
| dewey-sort | 3516.3 15 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Electronic eBook |
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| indexdate | 2024-07-10T07:17:52Z |
| institution | BVB |
| isbn | 0691153701 069115371X 1400842719 9780691153704 9780691153711 9781400842711 |
| language | English |
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| spelling | Zannier, Umberto Verfasser aut Some Problems of Unlikely Intersections in Arithmetic and Geometry Princeton Princeton University Press 2012 1 Online-Ressource (175 pages) txt rdacontent c rdamedia cr rdacarrier Annals of mathematics studies no. 181 This book considers the so-called Unlikely Intersections, a topic that embraces well-known issues, such as Lang's and Manin-Mumford's, concerning torsion points in subvarieties of tori or abelian varieties. More generally, the book considers algebraic subgroups that meet a given subvariety in a set of unlikely dimension. The book is an expansion of the Hermann Weyl Lectures delivered by Umberto Zannier at the Institute for Advanced Study in Princeton in May 2010. The book consists of four chapters and seven brief appendixes, the last six by David Masser. The first chapter considers multipli Cover; Title; Copyright; Contents; Preface; Notation and Conventions; Introduction: An Overview of Some Problems of Unlikely Intersections; 1 Unlikely Intersections in Multiplicative Groups and the Zilber Conjecture; 1.1 Torsion points on subvarieties of G; 1.2 Higher multiplicative rank; 1.3 Remarks on Theorem 1.3 and its developments; 1.3.1 Fields other than Q; 1.3.2 Weakened assumptions; 1.3.3 Unlikely intersections of positive dimension and height bounds; 1.3.4 Unlikely intersections of positive dimension and Zilber's conjecture Includes bibliographical references and index Algebraic geometry MATHEMATICS / Geometry / Algebraic bisacsh Algebraic varieties fast Geometry, Algebraic fast Intersection theory fast Intersection theory Algebraic varieties Geometry, Algebraic Schnitttheorie (DE-588)4179890-9 gnd rswk-swf Arithmetische Geometrie (DE-588)4131383-5 gnd rswk-swf Schnitttheorie (DE-588)4179890-9 s Arithmetische Geometrie (DE-588)4131383-5 s 1\p DE-604 Masser, David Sonstige oth http://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&db=nlabk&AN=434567 Aggregator Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Zannier, Umberto Some Problems of Unlikely Intersections in Arithmetic and Geometry Algebraic geometry MATHEMATICS / Geometry / Algebraic bisacsh Algebraic varieties fast Geometry, Algebraic fast Intersection theory fast Intersection theory Algebraic varieties Geometry, Algebraic Schnitttheorie (DE-588)4179890-9 gnd Arithmetische Geometrie (DE-588)4131383-5 gnd |
| subject_GND | (DE-588)4179890-9 (DE-588)4131383-5 |
| title | Some Problems of Unlikely Intersections in Arithmetic and Geometry |
| title_auth | Some Problems of Unlikely Intersections in Arithmetic and Geometry |
| title_exact_search | Some Problems of Unlikely Intersections in Arithmetic and Geometry |
| title_full | Some Problems of Unlikely Intersections in Arithmetic and Geometry |
| title_fullStr | Some Problems of Unlikely Intersections in Arithmetic and Geometry |
| title_full_unstemmed | Some Problems of Unlikely Intersections in Arithmetic and Geometry |
| title_short | Some Problems of Unlikely Intersections in Arithmetic and Geometry |
| title_sort | some problems of unlikely intersections in arithmetic and geometry |
| topic | Algebraic geometry MATHEMATICS / Geometry / Algebraic bisacsh Algebraic varieties fast Geometry, Algebraic fast Intersection theory fast Intersection theory Algebraic varieties Geometry, Algebraic Schnitttheorie (DE-588)4179890-9 gnd Arithmetische Geometrie (DE-588)4131383-5 gnd |
| topic_facet | Algebraic geometry MATHEMATICS / Geometry / Algebraic Algebraic varieties Geometry, Algebraic Intersection theory Schnitttheorie Arithmetische Geometrie |
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