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Some problems of unlikely intersections in arithmetic and geometry

Author: U Zannier; David William Masser
Publisher: Princeton : Princeton University Press, 2012.
Series: Annals of mathematics studies, no. 181.
Edition/Format:   eBook : Document : EnglishView all editions and formats
Summary:

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.  Read more...

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Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: U Zannier; David William Masser
ISBN: 0691153701 069115371X 1283457059 1400842719 9780691153704 9780691153711 9781283457057 9781400842711
OCLC Number: 846890084
Notes: Titre de l'écran-titre (visionné le 26 mars 2013).
Description: 1 online resource (1 texte électronique (xi, 160 p.)).
Contents: *FrontMatter, pg. i*Contents, pg. v*Preface, pg. ix*Notation and Conventions, pg. xi*Introduction: An Overview of Some Problems of Unlikely Intersections, pg. 1*Chapter 1: Unlikely Intersections in Multiplicative Groups and the Zilber Conjecture, pg. 15*Chapter 2: An Arithmetical Analogue, pg. 43*Chapter 3 Unlikely Intersections in Elliptic Surfaces and Problems of Masser, pg. 62*Chapter 4: About the Andre-Oort Conjecture, pg. 96*Appendix A: Distribution of Rational Points on Subanalytic Surfaces, pg. 128*Appendix B: Uniformity in Unlikely Intersections: An Example for Lines in Three Dimensions, pg. 136*Appendix C: Silverman's Bounded Height Theorem for Elliptic Curves: A Direct Proof, pg. 138*Appendix D: Lower Bounds for Degrees of Torsion Points: The Transcendence Approach, pg. 140*Appendix E: A Transcendence Measure for a Quotient of Periods, pg. 143*Appendix F: Counting Rational Points on Analytic Curves: A Transcendence Approach, pg. 145*Appendix G: Mixed Problems: Another Approach, pg. 147*Bibliography, pg. 149*Index, pg. 159
Series Title: Annals of mathematics studies, no. 181.
Responsibility: Umberto Zannier ; with appendixes by David Masser.

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