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Record Nr. |
UNINA9910815293003321 |
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Autore |
Bombieri Enrico <1940-> |
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Titolo |
Heights in diophantine geometry / / Enrico Bombieri, Walter Gubler |
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Pubbl/distr/stampa |
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Cambridge, : Cambridge University Press, 2006 |
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ISBN |
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1-107-15225-9 |
1-280-43486-4 |
9786610434862 |
0-511-18387-9 |
0-511-13947-0 |
0-511-14061-4 |
0-511-30918-X |
0-511-54287-9 |
0-511-13984-5 |
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Edizione |
[1st ed.] |
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Descrizione fisica |
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1 online resource (xvi, 652 pages) : digital, PDF file(s) |
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Collana |
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New mathematical monographs ; ; 4 |
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Altri autori (Persone) |
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Disciplina |
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Soggetti |
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Arithmetical algebraic geometry |
Mathematics |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Note generali |
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Title from publisher's bibliographic system (viewed on 05 Oct 2015). |
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Nota di bibliografia |
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Includes bibliographical references and index. |
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Nota di contenuto |
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Heights -- Weil heights -- Linear tori -- Small points -- The unit equation -- Roth's theorem -- The subspace theorem -- Abelian varieties -- Neron-Tate heights -- The Mordell-Weil theorem -- Falting's theorem -- The abc-conjecture -- Nevalinna theory -- The Vojta conjectures. |
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Sommario/riassunto |
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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 |
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