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Integral Points on Algebraic Varieties

An Introduction to Diophantine Geometry

  • Pietro Corvaja

Part of the HBA Lecture Notes in Mathematics book series (HBALNM)

Also part of the IMSc Lecture Notes in Mathematics book sub series (IMSLNM)

Table of contents

  1. Front Matter
    Pages i-ix
  2. Pietro Corvaja
    Pages 1-18
  3. Pietro Corvaja
    Pages 19-30
  4. Pietro Corvaja
    Pages 31-43
  5. Pietro Corvaja
    Pages 45-54
  6. Pietro Corvaja
    Pages 55-71
  7. Back Matter
    Pages 73-75

About this book

Introduction

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 In some instances, proofs have been replaced by a detailed analysis of particular cases, referring to the quoted papers for complete proofs.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.

Keywords

Diophantine approximation Thue's equation Siegel's Theorem Hyperelliptic curves Universal Hilbert Sequences Integral points on surfaces

Authors and affiliations

  • Pietro Corvaja
    • 1
  1. 1.Dipartimento di MatematicaUniversità degli studi di UdineUdineItaly

Bibliographic information

  • DOI https://doi.org/10.1007/978-981-10-2648-5
  • Copyright Information Springer Science+Business Media Singapore 2016 and Hindustan Book Agency 2016 2016
  • Publisher Name Springer, Singapore
  • eBook Packages Mathematics and Statistics
  • Online ISBN 978-981-10-2648-5
  • Series Print ISSN 2509-8063
  • Series Online ISSN 2509-8071
  • Buy this book on publisher's site