Logarithmic Forms and Diophantine Geometry

Logarithmic Forms and Diophantine Geometry pdf epub mobi txt 电子书 下载 2025

出版者:Cambridge University Press
作者:A. Baker
出品人:
页数:208
译者:
出版时间:2008-2-18
价格:USD 90.00
装帧:Hardcover
isbn号码:9780521882682
丛书系列:
图书标签:
  • 数学 
  • 数论 
  • 代数几何 
  • 超越数论 
  • 解析数论7 
  • 代数几何7 
  • 丢番图方程 
  • QS 
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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.

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导引。详细的技术细节参考Waldschmidt

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导引。详细的技术细节参考Waldschmidt

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导引。详细的技术细节参考Waldschmidt

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导引。详细的技术细节参考Waldschmidt

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导引。详细的技术细节参考Waldschmidt

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