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|a Bombieri, Enrico,
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|a Heights in diophantine geometry /
|c Enrico Bombieri, Walter Gubler.
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|a Cambridge :
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|v 4
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|a Includes bibliographical references and index.
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|a 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 time.
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|a 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.
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|a English.
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|a Arithmetical algebraic geometry.
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|a Géométrie algébrique arithmétique.
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|a Arithmetical algebraic geometry.
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|a Gubler, Walter.
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|i Print version:
|a Bombieri, Enrico, 1940-
|t Heights in diophantine geometry.
|d Cambridge : Cambridge University Press, 2006
|z 0521846153
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