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Some problems of unlikely intersections in arithmetic and geometry / Umberto Zannier ; with appendixes by David Masser.

By: Contributor(s): Material type: TextTextSeries: Annals of mathematics studies ; no. 181Publication details: Princeton : Princeton University Press, 2012.Description: xi, 160 p. ; 26 cmISBN:
  • 9780691153711 (pbk. : acidfree paper)
Subject(s): DDC classification:
  • 516.35 23 Z32
Contents:
1 Unlikely Intersections in Multiplicative Groups and the Zilber Conjecture-- 2. An arithmetical analogue-- 3. Unlikely intersections in elliptic surfaces and problems of masser-- 4. About the andre-oort conjecture-- Appendices-- Bibliography-- Index.
Summary: 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 multipli.
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Holdings
Item type Current library Call number Status Date due Barcode Item holds
Books ISI Library, Kolkata 516.35 Z32 (Browse shelf(Opens below)) Available 135655
Total holds: 0

Includes bibliographical references and index.

1 Unlikely Intersections in Multiplicative Groups and the Zilber Conjecture--
2. An arithmetical analogue--
3. Unlikely intersections in elliptic surfaces and problems of masser--
4. About the andre-oort conjecture--
Appendices--
Bibliography--
Index.

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 multipli.

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