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Logarithmic Forms and Diophantine Geometry

A Baker author G Wüstholz author

Format:Hardback

Publisher:Cambridge University Press

Published:17th Jan '08

Currently unavailable, and unfortunately no date known when it will be back

Logarithmic Forms and Diophantine Geometry cover

An account of effective methods in transcendental number theory and Diophantine geometry by eminent authors.

An account of the theory of linear forms in the logarithms of algebraic numbers. Covers basic material from a modern perspective, plus important developments over the last 25 years, many for the first time in book form. A comprehensive bibliography rounds off this definitive survey of effective methods in Diophantine geometry.There is now much interplay between studies on logarithmic forms and deep aspects of arithmetic algebraic geometry. New light has been shed, for instance, on the famous conjectures of Tate and Shafarevich relating to abelian varieties and the associated celebrated discoveries of Faltings establishing the Mordell conjecture. This book gives an account of the theory of linear forms in the logarithms of algebraic numbers with special emphasis on the important developments of the past twenty-five years. The first part covers basic material in transcendental number theory but with a modern perspective. The remainder assumes some background in Lie algebras and group varieties, and covers, in some instances for the first time in book form, several advanced topics. The final chapter summarises other aspects of Diophantine geometry including hypergeometric theory and the André-Oort conjecture. A comprehensive bibliography rounds off this definitive survey of effective methods in Diophantine geometry.

"This book gives the necessary intuitive background to study the original journal articles of Baker, Masser, Wüstholz and others..." Yuri Bilu, Mathematical Reviews

ISBN: 9780521882682

Dimensions: 235mm x 161mm x 16mm

Weight: 430g

208 pages