Some Problems of Unlikely Intersections in Arithmetic and Geometry (AM-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...

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Détails bibliographiques
Auteur principal: Zannier, Umberto
Autres auteurs: Masser, David
Format: Électronique eBook
Langue:Inglés
Publié: Princeton : Princeton University Press, 2012.
Collection:Book collections on Project MUSE.
Sujets:
Intersection theory (Mathematics)
Geometry, Algebraic.
Algebraic varieties.
MATHEMATICS > Geometry > Algebraic.
Geometrie algebrique.
Varietes algebriques.
Theorie des intersections.
Electronic books.
Accès en ligne:Texto completo

MARC

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245 1 0 |a Some Problems of Unlikely Intersections in Arithmetic and Geometry (AM-181) /   |c Umberto Zannier. 
264 1 |a Princeton :  |b Princeton University Press,  |c 2012. 
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490 0 |a Annals of mathematics studies ;  |v no. 181 
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. 
520 |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. 
588 |a Description based on print version record. 
650 7 |a Intersection theory (Mathematics)  |2 fast  |0 (OCoLC)fst00977501 
650 7 |a Geometry, Algebraic.  |2 fast  |0 (OCoLC)fst00940902 
650 7 |a Algebraic varieties.  |2 fast  |0 (OCoLC)fst00804944 
650 7 |a MATHEMATICS  |x Geometry  |x Algebraic.  |2 bisacsh 
650 6 |a Geometrie algebrique. 
650 6 |a Varietes algebriques. 
650 6 |a Theorie des intersections. 
650 0 |a Geometry, Algebraic. 
650 0 |a Algebraic varieties. 
650 0 |a Intersection theory (Mathematics) 
655 7 |a Electronic books.   |2 local 
700 1 |a Masser, David. 
710 2 |a Project Muse.  |e distributor 
830 0 |a Book collections on Project MUSE. 
856 4 0 |z Texto completo  |u https://projectmuse.uam.elogim.com/book/30983/ 
945 |a Project MUSE - Custom Collection 

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