Heights in Diophantine Geometry, PDF eBook

Heights in Diophantine Geometry PDF

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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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