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Heights in diophantine geometry /
Diophantine geometry has been studied by number theorists for thousands of years, this monograph is a bridge between the classical theory and modern approach via arithmetic geometry. The treatment is largely self-contained, with proofs given in full detail. Many results appear here for the first tim...
| Clasificación: | Libro Electrónico |
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| Autor principal: | |
| Otros Autores: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Cambridge :
Cambridge University Press,
2006.
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| Colección: | New mathematical monographs ;
4. |
| Temas: | |
| Acceso en línea: | Texto completo |
Tabla de Contenidos:
- COVER; HALF-TITLE; TITLE; COPYRIGHT; CONTENTS; PREFACE; TERMINOLOGY; 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 NÉRON-TATE HEIGHTS; 10 THE MORDELL-WEIL THEOREM; 11 FALTINGS'S THEOREM; 12 THE abc-CONJECTURE; 13 NEVANLINNA THEORY; 14 THE VOJTA CONJECTURES; APPENDIX A ALGEBRAIC GEOMETRY; APPENDIX B RAMIFICATION; APPENDIX C GEOMETRY OF NUMBERS; REFERENCES; GLOSSARY OF NOTATION; INDEX.