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Lieferstatus:	i.d.R. innert 14-24 Tagen versandfertig
Veröffentlichung:	März 2012
Genre:	Schulbücher
	Algebra / Gruppe (mathematisch) / Gruppe (mathematisch) - Gruppentheorie / Mathematik / Allgemeines, Einführung, Lexikon / Zahlentheorie
ISBN:	9780691153711
EAN-Code:	9780691153711
Verlag:	Princeton University Press
Einband:	Kartoniert
Sprache:	English
Serie:	#181 - Annals of Mathematics Studies
Dimensionen:	H 254 mm / B 178 mm / D 10 mm
Gewicht:	344 gr
Seiten:	176
Bewertung:	Titel bewerten / Meinung schreiben

Inhalt:

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).