Integral Points on Algebraic Varieties
An Introduction to Diophantine Geometry
Published on 15. December 2016
Book
Hardback
84 pages
978-981-10-2647-8 (ISBN)
Description
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 In some instances, proofs have been replaced by a detailed analysis of particular cases, referring to the quoted papers for complete proofs.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.
More details
Series
Edition
1st ed. 2016
Language
English
Place of publication
Singapore
Singapore
Target group
Professional and scholarly
Illustrations
1 s/w Abbildung
1 black & white illustrations, biography
Dimensions
Height: 235 mm
Width: 155 mm
ISBN-13
978-981-10-2647-8 (9789811026478)
DOI
10.1007/978-981-10-2648-5
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Schweitzer Classification
Other editions
Additional editions
E-Book
11/2016
Springer
€47.07
Available for download
Person
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.
Content
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.