Logarithmic Forms and Diophantine Geometry (Hardcover)

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 Andre-Oort conjecture. A comprehensive bibliography rounds off this definitive survey of effective methods in Diophantine geometry.

General

Imprint:	Cambridge UniversityPress
Country of origin:	United Kingdom
Series:	New Mathematical Monographs
Release date:	2008
First published:	2007
Authors:	A. Baker • G. Wustholz
Dimensions:	235 x 161 x 16mm (L x W x T)
Format:	Hardcover
Pages:	208
ISBN-13:	978-0-521-88268-2
Categories:	Books > Science & Mathematics > Mathematics > Geometry > General
LSN:	0-521-88268-0
Barcode:	9780521882682

Is the information for this product incomplete, wrong or inappropriate? Let us know about it.

Does this product have an incorrect or missing image? Send us a new image.

Is this product missing categories? Add more categories.

Review This Product

No reviews yet - be the first to create one!