Overview
- Introduces problems in Diophantine geometry and their recent results
- Investigates the distribution of integral points on algebraic varieties
- Discusses about the Siegel’s finiteness theorem for integral points on curves
Part of the book series: HBA Lecture Notes in Mathematics (HBALNM)
Part of the book sub series: IMSc Lecture Notes in Mathematics (IMSLNM)
Buy print copy
About this book
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 In some instances, proofs have been replaced by a detailed analysis of particular cases, referring to the quoted papers for complete proofs.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.
Similar content being viewed by others
Keywords
Table of contents (5 chapters)
Authors and Affiliations
About the author
Pietro Corvaja is full professor of geometry at the Dipartimento Di Mathematica Einformatica at the Universita’ degli studi di udine, Italy. His research topics are arithmetic geometry, Diophantine approximation and the theory of transcendental numbers.
Bibliographic Information
Book Title: Integral Points on Algebraic Varieties
Book Subtitle: An Introduction to Diophantine Geometry
Authors: Pietro Corvaja
Series Title: HBA Lecture Notes in Mathematics
DOI: https://doi.org/10.1007/978-981-10-2648-5
Publisher: Springer Singapore
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer Science+Business Media Singapore 2016 and Hindustan Book Agency 2016 2016
eBook ISBN: 978-981-10-2648-5Published: 23 November 2016
Series ISSN: 2509-8063
Series E-ISSN: 2509-8071
Edition Number: 1
Number of Pages: IX, 75
Number of Illustrations: 1 b/w illustrations
Topics: Algebra, Integral Equations, Geometry