Zannier Some Problems of Unlikely Intersections in Arithmetic and Geometry

Course Book
ISBN: 978-1-4008-4271-1
Verlag: De Gruyter
Format: EPUB
Kopierschutz: Adobe DRM (»Systemvoraussetzungen)

E-Book, Englisch, Band 181, 176 Seiten

Reihe: Annals of Mathematics Studies

No detailed description available for "Some Problems of Unlikely Intersections in Arithmetic and Geometry".

Autoren/Hrsg.

Zannier, Umberto

Weitere Mitwirkende

Masser, David

Fachgebiete

• Mathematik | Informatik Mathematik Geometrie Algebraische Geometrie

Inhaltsverzeichnis

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 André-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

Über Autor(innen)

Umberto Zannier is professor of mathematics at the Scuola Normale Superiore di Pisa in Pisa, Italy. He is the author of Lecture Notes on Diophantine Analysis and the editor of Diophantine Geometry.