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Heights in Diophantine Geometry
Language: en
Pages: 676
Authors: Enrico Bombieri
Categories: Mathematics
Type: BOOK - Published: 2006 - Publisher: Cambridge University Press

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This monograph is a bridge between the classical theory and modern approach via arithmetic geometry.
Diophantine Geometry
Language: en
Pages: 574
Authors: Marc Hindry
Categories: Mathematics
Type: BOOK - Published: 2013-12-01 - Publisher: Springer Science & Business Media

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This is an introduction to diophantine geometry at the advanced graduate level. The book contains a proof of the Mordell conjecture which will make it quite att
Fundamentals of Diophantine Geometry
Language: en
Pages: 383
Authors: S. Lang
Categories: Mathematics
Type: BOOK - Published: 2013-06-29 - Publisher: Springer Science & Business Media

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Diophantine problems represent some of the strongest aesthetic attractions to algebraic geometry. They consist in giving criteria for the existence of solutions
The Mordell Conjecture
Language: en
Pages: 179
Authors: Hideaki Ikoma
Categories: Mathematics
Type: BOOK - Published: 2022-02-03 - Publisher: Cambridge University Press

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This book provides a self-contained proof of the Mordell conjecture (Faltings's theorem) and a concise introduction to Diophantine geometry.
Arakelov Geometry and Diophantine Applications
Language: en
Pages: 469
Authors: Emmanuel Peyre
Categories: Mathematics
Type: BOOK - Published: 2021-03-10 - Publisher: Springer Nature

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Bridging the gap between novice and expert, the aim of this book is to present in a self-contained way a number of striking examples of current diophantine prob