Integral Points on Algebraic Varieties An Introduction to Diophantine Geometry

This book is intended to be an introduction to Diophantine geometry. The central theme of the book is to investigate the distribution of integral points on algebraic varieties. This text rapidly introduces problems in Diophantine geometry, especially those involving integral points, assuming a geome...

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Bibliographic Details
Main Author: Corvaja, Pietro
Format: eBook
Language:English
Published: Singapore Springer Nature Singapore 2016, 2016
Edition:1st ed. 2016
Series:IMSc Lecture Notes in Mathematics
Subjects:
Online Access:
Collection: Springer eBooks 2005- - Collection details see MPG.ReNa
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505 0 |a Chapter 1. Integral points on algebraic varieties -- Chapter 2. Diophantine approximation -- Chapter 3. The theorems of Thue and Siegel -- Chapter 4. Hilbert Irreducibility Theorem -- Chapter 5. Integral points on surfaces 
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520 |a This book is intended to be an introduction to Diophantine geometry. The central theme of the book is to investigate the distribution of integral points on algebraic varieties. This text rapidly introduces problems in Diophantine geometry, especially those involving integral points, assuming a geometrical perspective. It presents recent results not available in textbooks and also new viewpoints on classical material. In some instances, proofs have been replaced by a detailed analysis of particular cases, referring to the quoted papers for complete proofs. A central role is played by Siegel’s finiteness theorem for integral points on curves. The book ends with the analysis of integral points on surfaces