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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
Lectures on Arakelov Geometry
Language: en
Pages: 190
Authors: C. Soulé
Categories: Mathematics
Type: BOOK - Published: 1994-09-15 - Publisher: Cambridge University Press

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An account for graduate students of this new technique in diophantine geometry; includes account of higher dimensional theory.
Arakelov Geometry over Adelic Curves
Language: en
Pages: 452
Authors: Huayi Chen
Categories: Mathematics
Type: BOOK - Published: 2020-01-29 - Publisher: Springer Nature

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The purpose of this book is to build the fundament of an Arakelov theory over adelic curves in order to provide a unified framework for research on arithmetic g
Arakelov Geometry
Language: en
Pages: 298
Authors: Atsushi Moriwaki
Categories: Mathematics
Type: BOOK - Published: 2014-11-05 - Publisher: American Mathematical Soc.

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The main goal of this book is to present the so-called birational Arakelov geometry, which can be viewed as an arithmetic analog of the classical birational geo
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