Heights In Diophantine Geometry (new Mathematical Monographs)
by Enrico Bombieri /
2006 / English / PDF
3.2 MB Download
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 provide 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.
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 provide 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.
