01362oam 2200385Ka 450 991069750750332120080930065640.0(CKB)5470000002389882(OCoLC)54468287(EXLCZ)99547000000238988220040223d2003 ua 0engtxtrdacontentcrdamediacrrdacarrierSafe lanes on campus[electronic resource] a guide for preventing impaired driving and underage drinking /Robert Zimmerman, William DeJongNewton, MA :Higher Education Center for Alcohol and Other Drug Prevention,2003.iii, 60 pages digital, PDF fileTitle from title screen (viewed Feb. 23, 2004).Safe lanes on campus Drunk drivingUnited StatesPreventionCollege studentsAlcohol useUnited StatesDrunk drivingPrevention.College studentsAlcohol useZimmerman Robert1187964DeJong William1950-1405673Higher Education Center for Alcohol and Other Drug Prevention (U.S.)GPOGPOOCLCQOCLCGBOOK9910697507503321Safe lanes on campus3482699UNINA05656nam 22011415 450 991077892830332120210111125649.01-283-45705-997866134570591-4008-4271-910.1515/9781400842711(CKB)2550000000084277(EBL)859035(OCoLC)775873005(SSID)ssj0000614574(PQKBManifestationID)11405754(PQKBTitleCode)TC0000614574(PQKBWorkID)10605312(PQKB)11066431(DE-B1597)447247(OCoLC)979905294(DE-B1597)9781400842711(MiAaPQ)EBC859035(PPN)199244510(PPN)187959641(EXLCZ)99255000000008427720190708d2012 fg engur|n|---|||||txtccrSome Problems of Unlikely Intersections in Arithmetic and Geometry (AM-181) /Umberto ZannierCourse BookPrinceton, NJ : Princeton University Press, [2012]©20121 online resource (175 p.)Annals of Mathematics Studies ;205Description based upon print version of record.0-691-15371-X Frontmatter -- Contents -- Preface -- Notation and Conventions -- Introduction: An Overview of Some Problems of Unlikely Intersections -- Chapter 1: Unlikely Intersections in Multiplicative Groups and the Zilber Conjecture -- Chapter 2: An Arithmetical Analogue -- Chapter 3 Unlikely Intersections in Elliptic Surfaces and Problems of Masser -- Chapter 4: About the André-Oort Conjecture -- Appendix A: Distribution of Rational Points on Subanalytic Surfaces / Zannier, Umberto -- Appendix B: Uniformity in Unlikely Intersections: An Example for Lines in Three Dimensions / Masser, David -- Appendix C: Silverman's Bounded Height Theorem for Elliptic Curves: A Direct Proof / Masser, David -- Appendix D: Lower Bounds for Degrees of Torsion Points: The Transcendence Approach / Masser, David -- Appendix E: A Transcendence Measure for a Quotient of Periods / Masser, David -- Appendix F: Counting Rational Points on Analytic Curves: A Transcendence Approach / Masser, David -- Appendix G: Mixed Problems: Another Approach / Masser, David -- Bibliography -- IndexThis 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 multiplicative algebraic groups, presenting proofs of several developments, ranging from the origins to recent results, and discussing many applications and relations with other contexts. The second chapter considers an analogue in arithmetic and several applications of this. The third chapter introduces a new method for approaching some of these questions, and presents a detailed application of this (by Masser and the author) to a relative case of the Manin-Mumford issue. The fourth chapter focuses on the André-Oort conjecture (outlining work by Pila).Annals of Mathematics StudiesAlgebraic geometryAlgebraic geometryAlgebraic varietiesAlgebraic varietiesGeometry, AlgebraicIntersection theoryIntersection theoryIntersection theory (Mathematics)Algebraic varietiesGeometry, AlgebraicMathematicsHILCCPhysical Sciences & MathematicsHILCCGeometryHILCCAndrЏort conjecture.ManinЍumford conjecture.ManinЍumford issue.ManinЍumfordВaynaud.Pila.S. Lang.Shimura varieties.abelian analogue.arithmetic.arithmetical analogue.elliptic surfaces.modular curves.multiplicative algebraic groups.number fields.roots of unity.singular invariants.tori.torsion points.unlikely intersections.Algebraic geometry.Algebraic geometry.Algebraic varieties.Algebraic varieties.Geometry, Algebraic.Intersection theory.Intersection theory.Intersection theory (Mathematics)Algebraic varietiesGeometry, AlgebraicMathematicsPhysical Sciences & MathematicsGeometry516.35SI 830rvkZannier Umberto, 149228Masser David49131DE-B1597DE-B1597BOOK9910778928303321Some Problems of Unlikely Intersections in Arithmetic and Geometry (AM-181)3737225UNINA