Logarithmic forms and diophantine geometry:
There is now much interplay between studies on logarithmic forms and deep aspects of arithmetic algebraic geometry. New light has been shed, for instance, on the famous conjectures of Tate and Shafarevich relating to abelian varieties and the associated celebrated discoveries of Faltings establishin...
Gespeichert in:
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| Format: | E-Book |
| Sprache: | Englisch |
| Veröffentlicht: |
Cambridge
Cambridge University Press
2007
|
| Schriftenreihe: | New mathematical monographs
9 |
| Links: | https://doi.org/10.1017/CBO9780511542862 |
| Zusammenfassung: | There is now much interplay between studies on logarithmic forms and deep aspects of arithmetic algebraic geometry. New light has been shed, for instance, on the famous conjectures of Tate and Shafarevich relating to abelian varieties and the associated celebrated discoveries of Faltings establishing the Mordell conjecture. This book gives an account of the theory of linear forms in the logarithms of algebraic numbers with special emphasis on the important developments of the past twenty-five years. The first part covers basic material in transcendental number theory but with a modern perspective. The remainder assumes some background in Lie algebras and group varieties, and covers, in some instances for the first time in book form, several advanced topics. The final chapter summarises other aspects of Diophantine geometry including hypergeometric theory and the André-Oort conjecture. A comprehensive bibliography rounds off this definitive survey of effective methods in Diophantine geometry. |
| Umfang: | 1 Online-Ressource (x, 198 Seiten) |
| ISBN: | 9780511542862 |
Internformat
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| 245 | 1 | 0 | |a Logarithmic forms and diophantine geometry |c A. Baker, G. Wüstholz |
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| 264 | 1 | |a Cambridge |b Cambridge University Press |c 2007 | |
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| 520 | |a There is now much interplay between studies on logarithmic forms and deep aspects of arithmetic algebraic geometry. New light has been shed, for instance, on the famous conjectures of Tate and Shafarevich relating to abelian varieties and the associated celebrated discoveries of Faltings establishing the Mordell conjecture. This book gives an account of the theory of linear forms in the logarithms of algebraic numbers with special emphasis on the important developments of the past twenty-five years. The first part covers basic material in transcendental number theory but with a modern perspective. The remainder assumes some background in Lie algebras and group varieties, and covers, in some instances for the first time in book form, several advanced topics. The final chapter summarises other aspects of Diophantine geometry including hypergeometric theory and the André-Oort conjecture. A comprehensive bibliography rounds off this definitive survey of effective methods in Diophantine geometry. | ||
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| spelling | Baker, Alan 1939- Logarithmic forms and diophantine geometry A. Baker, G. Wüstholz Logarithmic Forms & Diophantine Geometry Cambridge Cambridge University Press 2007 1 Online-Ressource (x, 198 Seiten) txt c cr New mathematical monographs 9 There is now much interplay between studies on logarithmic forms and deep aspects of arithmetic algebraic geometry. New light has been shed, for instance, on the famous conjectures of Tate and Shafarevich relating to abelian varieties and the associated celebrated discoveries of Faltings establishing the Mordell conjecture. This book gives an account of the theory of linear forms in the logarithms of algebraic numbers with special emphasis on the important developments of the past twenty-five years. The first part covers basic material in transcendental number theory but with a modern perspective. The remainder assumes some background in Lie algebras and group varieties, and covers, in some instances for the first time in book form, several advanced topics. The final chapter summarises other aspects of Diophantine geometry including hypergeometric theory and the André-Oort conjecture. A comprehensive bibliography rounds off this definitive survey of effective methods in Diophantine geometry. Wüstholz, Gisbert Erscheint auch als Druck-Ausgabe 9780521882682 |
| spellingShingle | Baker, Alan 1939- Logarithmic forms and diophantine geometry |
| title | Logarithmic forms and diophantine geometry |
| title_alt | Logarithmic Forms & Diophantine Geometry |
| title_auth | Logarithmic forms and diophantine geometry |
| title_exact_search | Logarithmic forms and diophantine geometry |
| title_full | Logarithmic forms and diophantine geometry A. Baker, G. Wüstholz |
| title_fullStr | Logarithmic forms and diophantine geometry A. Baker, G. Wüstholz |
| title_full_unstemmed | Logarithmic forms and diophantine geometry A. Baker, G. Wüstholz |
| title_short | Logarithmic forms and diophantine geometry |
| title_sort | logarithmic forms and diophantine geometry |
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