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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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Book Details

ISBN: 9780521712293
ISBN-10: 0521712297
Format: Paperback
(228mm x 152mm x 34mm)
Pages: 670
Imprint: Cambridge University Press
Publisher: Cambridge University Press
Publish Date: 6-Sep-2007
Country of Publication: United Kingdom

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Author Biography - Enrico Bombieri

Professor Enrico Bombieri is a Professor of Mathematics at the Institute for Advanced Study. Dr Walter Gubler is a Lecturer in Mathematics at the University of Dortmund.