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Cover: 9780521712293 | Heights in Diophantine Geometry | Enrico Bombieri (u. a.) | Buch
Rückseite: 9780521712293 | Heights in Diophantine Geometry | Enrico Bombieri (u. a.) | Buch
Cover: 9780521712293 | Heights in Diophantine Geometry | Enrico Bombieri (u. a.) | Buch
Rückseite: 9780521712293 | Heights in Diophantine Geometry | Enrico Bombieri (u. a.) | Buch
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Heights in Diophantine Geometry
Taschenbuch von Enrico Bombieri (u. a.)
Sprache: Englisch

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Beschreibung
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.
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.
Über den Autor
Professor Enrico Bombieri is a Professor of Mathematics at the Institute for Advanced Study.
Inhaltsverzeichnis
1. Heights; 2. Weil heights; 3. Linear tori; 4. Small points; 5. The unit equation; 6. Roth's theorem; 7. The subspace theorem; 8. Abelian varieties; 9. Neron-Tate heights; 10. The Mordell-Weil theorem; 11. Faltings theorem; 12. The ABC-conjecture; 13. Nevanlinna theory; 14. The Vojta conjectures; Appendix A. Algebraic geometry; Appendix B. Ramification; Appendix C. Geometry of numbers; Bibliography; Glossary of notation; Index.
Details
Erscheinungsjahr: 2015
Fachbereich: Allgemeines
Genre: Importe, Mathematik
Rubrik: Naturwissenschaften & Technik
Medium: Taschenbuch
ISBN-13: 9780521712293
ISBN-10: 0521712297
Sprache: Englisch
Einband: Kartoniert / Broschiert
Autor: Bombieri, Enrico
Gubler, Walter
Hersteller: Cambridge University Press
Verantwortliche Person für die EU: Libri GmbH, Europaallee 1, D-36244 Bad Hersfeld, gpsr@libri.de
Maße: 229 x 152 x 36 mm
Von/Mit: Enrico Bombieri (u. a.)
Erscheinungsdatum: 09.03.2015
Gewicht: 0,954 kg
Artikel-ID: 109397428
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