Heights in diophantine geometry / / Enrico Bombieri, Walter Gubler [[electronic resource]]

• Autore: Bombieri Enrico <1940->
• Pubblicazione: Cambridge : , : Cambridge University Press, , 2006
• Descrizione fisica: 1 online resource (xvi, 652 pages) : digital, PDF file(s)
• Disciplina: 516.35
• Soggetto topico: Arithmetical algebraic geometry
• Persona (resp. second.): GublerWalter
• Note generali: Title from publisher's bibliographic system (viewed on 05 Oct 2015).
• Nota di bibliografia: Includes bibliographical references and index.
• Nota di contenuto: 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.
• Sommario/riassunto: 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.
• Titolo autorizzato: Heights in diophantine geometry
• ISBN: 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
• Formato: Materiale a stampa
• Livello bibliografico: Monografia
• Lingua di pubblicazione: Inglese
• Record Nr.: 9910784310103321
• Lo trovi qui: Univ. Federico II
• Serie: New mathematical monographs ; ; 4.