Heights in Diophantine Geometry

Heights in Diophantine Geometry pdf epub mobi txt 电子书 下载 2025

出版者:Cambridge University Press
作者:Enrico Bombieri
出品人:
页数:655
译者:
出版时间:2007-9-24
价格:USD 97.00
装帧:Paperback
isbn号码:9780521712293
丛书系列:
图书标签:
  • 数学
  • Heights
  • Geometry
  • Diophantine
  • 计算机科学
  • 代数几何7
  • 代数几何
  • In
  • Diophantine Geometry
  • Heights
  • Algebraic Geometry
  • Number Theory
  • Polynomial Equations
  • Rational Points
  • Arithmetic Geometry
  • Field Theory
  • Elliptic Curves
  • Varieties
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具体描述

Diophantine geometry has been studied by number theorists for thousands of years, since the time of Pythagoras, and has continued to be a rich area of ideas such as Fermat's Last Theorem, and most recently the ABC conjecture. This monograph is a bridge between the classical theory and modern approach via arithmetic geometry. The authors provide a clear path through the subject for graduate students and researchers. They have re-examined many results and much of the literature, and give a thorough account of several topics at a level not seen before in book form. The treatment is largely self-contained, with proofs given in full detail. Many results appear here for the first time. The book concludes with a comprehensive bibliography. It is destined to be a definitive reference on modern diophantine geometry, bringing a new standard of rigor and elegance to the field.

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