Logarithmic Forms and Diophantine Geometry

Name: Logarithmic Forms and Diophantine Geometry
Brand: Cambridge University Press
SKU: 9780521882682
Price: 845.9 RON
Availability: InStock

Autor: A. BakerG. Wüstholz

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Legare: Copertă tare

Editura: Cambridge University Press

Disponibilitate: În depozitul extern

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845.90 lei

There is now much interplay between studies on logarithmic forms and deep aspects of arithmetic alge...

Informații despre carte

Autor

A. BakerG. Wüstholz

Limbă

engleză

Legare

Carte - Copertă tare

Publicat

2008

Pagini

208

EAN

9780521882682

ISBN

0521882680

Enbook ID

02048913

Editura

Cambridge University Press

Greutate

430

Dimensiuni

154 x 235 x 16

Descriere completă

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.

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