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 In some instances, proofs have been replaced by a detailed analysis of particular cases, referring to the quoted papers for complete proofs.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.
- ISBN10 9811026475
- ISBN13 9789811026478
- Publish Date 15 December 2016 (first published 30 March 2016)
- Publish Status Cancelled
- Out of Print 9 February 2017
- Publish Country SG
- Imprint Springer Verlag, Singapore
- Edition 1st ed. 2016
- Format Hardcover
- Pages 84
- Language English