Synopsis
This book is intended to be an introduction to Diophantine Geometry. The central theme is the investigation of 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In some instances, proofs have been replaced by a detailed analysis of particular cases, referring to the quoted papers for complete proofs.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.
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Integral Points on Algebraic Varieties: An Introduction to Diophantine Geometry
Vendeur : Vedams eBooks (P) Ltd, New Delhi, Inde
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Soft cover. Etat : New. Contents: Introduction. 1 Integral points on algebraic. 2 Diophantine approximation. 3 The theorems of Thue and Siegel.4 Hilbert Irreducibility Theorem. 5 Integral points on surfaces. References. This book is intended to be an introduction to Diophantine Geometry. The central theme is the investigation of 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 In some instances, proofs have been replaced by a detailed analysis of particular cases, referring to the quoted papers for complete proofs.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. (jacket). N° de réf. du vendeur 117751
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