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Heights in Diophantine Geometry

Heights in Diophantine Geometry by Enrico Bombieri
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US$ 68.00
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.
Cambridge University Press; January 2006
670 pages; ISBN 9780511138096
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Title: Heights in Diophantine Geometry
Author: Enrico Bombieri; Walter Gubler
 
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