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Logarithmic Forms and Diophantine Geometry
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Bibliographic Detail
Publisher Cambridge Univ Pr
Publication date February 29, 2008
Pages 198
Binding Hardcover
Edition 1
Book category Adult Non-Fiction
ISBN-13 9780521882682
ISBN-10 0521882680
Dimensions 0.50 by 6.25 by 9 in.
Original list price $115.00
Other format details university press
Summaries and Reviews description: Product Description: 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.

Book cover for 9780521882682
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1 edition from Cambridge Univ Pr (February 29, 2008)
9780521882682 | details & prices | 198 pages | 6.25 × 9.00 × 0.50 in. | 0.95 lbs | List price $115.00
About: There is now much interplay between studies on logarithmic forms and deep aspects of arithmetic algebraic geometry.

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