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  1. Bog
  2. Geometri
  3. Algebraisk geometri

Some Problems of Unlikely Intersections in Arithmetic and Geometry

Af: Umberto Zannier Engelsk Paperback

Some Problems of Unlikely Intersections in Arithmetic and Geometry

Af: Umberto Zannier Engelsk Paperback
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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).

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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).

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Se mere i:
Produktdetaljer
Sprog: Engelsk
Sider: 176
ISBN-13: 9780691153711
Indbinding: Paperback
Udgave:
ISBN-10: 069115371X
Kategori: Algebraisk geometri
Udg. Dato: 25 mar 2012
Længde: 5mm
Bredde: 254mm
Højde: 174mm
Forlag: Princeton University Press
Oplagsdato: 25 mar 2012
Forfatter(e): Umberto Zannier
Forfatter(e) Umberto Zannier

Kategori Algebraisk geometri

ISBN-13 9780691153711

Sprog Engelsk

Indbinding Paperback

Sider 176

Udgave

Længde 5mm

Bredde 254mm

Højde 174mm

Udg. Dato 25 mar 2012

Oplagsdato 25 mar 2012

Forlag Princeton University Press

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