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Rational Curves on Algebraic Varieties
Language: en
Pages: 340
Authors: Janos Kollar
Categories: Mathematics
Type: BOOK - Published: 1999-06-22 - Publisher: Springer Science & Business Media

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The aim of this book is to provide an introduction to the structure theory of higher dimensional algebraic varieties by studying the geometry of curves, especia
Rational Curves on Algebraic Varieties
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Pages: 330
Authors: Janos Kollar
Categories: Mathematics
Type: BOOK - Published: 2013-04-09 - Publisher: Springer Science & Business Media

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The aim of this book is to provide an introduction to the structure theory of higher dimensional algebraic varieties by studying the geometry of curves, especia
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Authors: Bjorn Poonen
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Type: BOOK - Published: 2017-12-13 - Publisher: American Mathematical Soc.

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This book is motivated by the problem of determining the set of rational points on a variety, but its true goal is to equip readers with a broad range of tools
Birational Geometry, Rational Curves, and Arithmetic
Language: en
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Authors: Fedor Bogomolov
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​​​​This book features recent developments in a rapidly growing area at the interface of higher-dimensional birational geometry and arithmetic geometry.
Complex Algebraic Surfaces
Language: en
Pages: 148
Authors: Arnaud Beauville
Categories: Mathematics
Type: BOOK - Published: 1996-06-28 - Publisher: Cambridge University Press

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Developed over more than a century, and still an active area of research today, the classification of algebraic surfaces is an intricate and fascinating branch