Heights in Diophantine Geometry 丢番图几何中的高度剑桥新数学专著系列

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山东济南

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作者Enrico Bombieri

出版社Cambridge University Press

ISBN9780521712293

出版时间2011-08

装帧平装

定价690元

货号YB-70573

上书时间2024-03-28

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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.