Some problems of unlikely intersections in arithmetic and geometry
Biographical note: 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."
Salvato in:
| Autori principali: | , |
|---|---|
| Natura: | Livre numérique |
| Lingua: | Anglais |
| Pubblicazione: |
Princeton ; N.J :
Princeton University Press
2012.
|
| Serie: | Annals of Mathematics Studies
181 |
| Soggetti: | |
| Accesso online: | Accès Université d'Orléans et IFPM Accès INSA CVL |
| Nota: |
La pagination de l'édition imprimée correspondante est de : 176 p. Cyberlibris (ScholarVox) corpus Sciences de l'ingénieur Cyberlibris (ScholarVox) corpus Sciences de l'ingénieur |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • Some problems of unlikely intersections in arithmetic and geometry, Umberto Zannier, 2012, Princeton (N.J.), Princeton University Press, 1 vol. (xi-160 p.), Annals of mathematics studies, 978-0-691-15370-4 |
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| 100 | 1 | |a Zannier, Umberto, |d 1957-...., |c mathématicien. | |
| 245 | 1 | 0 | |a Some problems of unlikely intersections in arithmetic and geometry |c Umberto Zannier ; with appendixes by David Masser. |
| 256 | |a Données textuelles | ||
| 260 | |a Princeton ; |a N.J : |b Princeton University Press, |c 2012. | ||
| 490 | 0 | |a Annals of Mathematics Studies |v 181 | |
| 500 | |a La pagination de l'édition imprimée correspondante est de : 176 p. | ||
| 500 | |a Cyberlibris (ScholarVox) corpus Sciences de l'ingénieur | ||
| 500 | |a Cyberlibris (ScholarVox) corpus Sciences de l'ingénieur | ||
| 506 | |a L'accès complet à la ressource est réservé aux usagers des établissements qui en ont fait l'acquisition | ||
| 520 | |a Biographical note: 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." | ||
| 520 | |a Main description: 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. 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) | ||
| 538 | |a Nécessite un navigateur et un lecteur de fichier PDF | ||
| 650 | |a Géométrie algébrique | ||
| 650 | |a Variétés algébriques | ||
| 650 | |a Théorie des intersections | ||
| 700 | 1 | |a Masser, David William, |d 1948-...., |c mathématicien. |4 aut | |
| 776 | 0 | |0 161164749 |t Some problems of unlikely intersections in arithmetic and geometry |f Umberto Zannier |d 2012 |c Princeton (N.J.) |n Princeton University Press |p 1 vol. (xi-160 p.) |s Annals of mathematics studies |z 978-0-691-15370-4 | |
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