Some Problems of Unlikely Intersections in Arithmetic and Geometry /:
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...
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Format: | Elektronisch E-Book |
Sprache: | English |
Veröffentlicht: |
Princeton :
Princeton University Press,
2012.
|
Schriftenreihe: | Annals of mathematics studies ;
no. 181. |
Schlagworte: | |
Online-Zugang: | Volltext |
Zusammenfassung: | 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. |
Beschreibung: | 1 online resource (175 pages) |
Bibliographie: | Includes bibliographical references and index. |
ISBN: | 9781400842711 1400842719 9780691153704 0691153701 9780691153711 069115371X |
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490 | 1 | |a Annals of mathematics studies ; |v no. 181 | |
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505 | 0 | |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. | |
504 | |a Includes bibliographical references and index. | ||
650 | 0 | |a Intersection theory (Mathematics) | |
650 | 0 | |a Algebraic varieties. |0 http://id.loc.gov/authorities/subjects/sh85003439 | |
650 | 0 | |a Geometry, Algebraic. |0 http://id.loc.gov/authorities/subjects/sh85054140 | |
650 | 6 | |a Théorie des intersections. | |
650 | 6 | |a Variétés algébriques. | |
650 | 6 | |a Géométrie algébrique. | |
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adam_text | |
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author | Zannier, Umberto |
author2 | Masser, David |
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author_facet | Zannier, Umberto Masser, David |
author_role | |
author_sort | Zannier, Umberto |
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callnumber-first | Q - Science |
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callnumber-sort | QA 3564 |
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contents | 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. |
ctrlnum | (OCoLC)775873005 |
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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illustrated | Not Illustrated |
indexdate | 2024-11-27T13:18:15Z |
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isbn | 9781400842711 1400842719 9780691153704 0691153701 9780691153711 069115371X |
language | English |
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publisher | Princeton University Press, |
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series | Annals of mathematics studies ; |
series2 | Annals of mathematics studies ; |
spelling | Zannier, Umberto. Some Problems of Unlikely Intersections in Arithmetic and Geometry / Umberto Zannier. Princeton : Princeton University Press, 2012. 1 online resource (175 pages) text txt rdacontent computer c rdamedia online resource cr rdacarrier Annals of mathematics studies ; no. 181 Print version record. 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. 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. Intersection theory (Mathematics) Algebraic varieties. http://id.loc.gov/authorities/subjects/sh85003439 Geometry, Algebraic. http://id.loc.gov/authorities/subjects/sh85054140 Théorie des intersections. Variétés algébriques. Géométrie algébrique. MATHEMATICS Geometry Algebraic. bisacsh Algebraic varieties fast Geometry, Algebraic fast Intersection theory (Mathematics) fast Masser, David. has work: Some problems of unlikely intersections in arithmetic and geometry (Text) https://id.oclc.org/worldcat/entity/E39PCGRJ9vyCGkFHtj8RQpCt4y https://id.oclc.org/worldcat/ontology/hasWork Print version: 9780691153711 Annals of mathematics studies ; no. 181. http://id.loc.gov/authorities/names/n42002129 FWS01 ZDB-4-EBA FWS_PDA_EBA https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=434567 Volltext |
spellingShingle | Zannier, Umberto Some Problems of Unlikely Intersections in Arithmetic and Geometry / Annals of mathematics studies ; 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. Intersection theory (Mathematics) Algebraic varieties. http://id.loc.gov/authorities/subjects/sh85003439 Geometry, Algebraic. http://id.loc.gov/authorities/subjects/sh85054140 Théorie des intersections. Variétés algébriques. Géométrie algébrique. MATHEMATICS Geometry Algebraic. bisacsh Algebraic varieties fast Geometry, Algebraic fast Intersection theory (Mathematics) fast |
subject_GND | http://id.loc.gov/authorities/subjects/sh85003439 http://id.loc.gov/authorities/subjects/sh85054140 |
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 / Umberto Zannier. |
title_fullStr | Some Problems of Unlikely Intersections in Arithmetic and Geometry / Umberto Zannier. |
title_full_unstemmed | Some Problems of Unlikely Intersections in Arithmetic and Geometry / Umberto Zannier. |
title_short | Some Problems of Unlikely Intersections in Arithmetic and Geometry / |
title_sort | some problems of unlikely intersections in arithmetic and geometry |
topic | Intersection theory (Mathematics) Algebraic varieties. http://id.loc.gov/authorities/subjects/sh85003439 Geometry, Algebraic. http://id.loc.gov/authorities/subjects/sh85054140 Théorie des intersections. Variétés algébriques. Géométrie algébrique. MATHEMATICS Geometry Algebraic. bisacsh Algebraic varieties fast Geometry, Algebraic fast Intersection theory (Mathematics) fast |
topic_facet | Intersection theory (Mathematics) Algebraic varieties. Geometry, Algebraic. Théorie des intersections. Variétés algébriques. Géométrie algébrique. MATHEMATICS Geometry Algebraic. Algebraic varieties Geometry, Algebraic |
url | https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=434567 |
work_keys_str_mv | AT zannierumberto someproblemsofunlikelyintersectionsinarithmeticandgeometry AT masserdavid someproblemsofunlikelyintersectionsinarithmeticandgeometry |