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Integral points on algebraic varieti...
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Corvaja, Pietro.
Integral points on algebraic varietiesan introduction to diophantine geometry /
Record Type:
Electronic resources : Monograph/item
Title/Author:
Integral points on algebraic varietiesby Pietro Corvaja.
Reminder of title:
an introduction to diophantine geometry /
Author:
Corvaja, Pietro.
Published:
Singapore :Springer Singapore :2016.
Description:
ix, 75 p. :ill., digital ;24 cm.
Contained By:
Springer eBooks
Subject:
Arithmetical algebraic geometry.
Online resource:
http://dx.doi.org/10.1007/978-981-10-2648-5
ISBN:
9789811026485$q(electronic bk.)
Integral points on algebraic varietiesan introduction to diophantine geometry /
Corvaja, Pietro.
Integral points on algebraic varieties
an introduction to diophantine geometry /[electronic resource] :by Pietro Corvaja. - Singapore :Springer Singapore :2016. - ix, 75 p. :ill., digital ;24 cm. - HBA lecture notes in mathematics,2509-8063. - HBA lecture notes in mathematics..
Chapter 1. Integral points on algebraic varieties -- Chapter 2. Diophantine approximation -- Chapter 3. The theorems of Thue and Siegel -- Chapter 4. Hilbert Irreducibility Theorem -- Chapter 5. Integral points on surfaces.
This book is intended to be an introduction to Diophantine geometry. The central theme of the book is to investigate the distribution of integral points on algebraic varieties. This text rapidly introduces problems in Diophantine geometry, especially those involving integral points, assuming a geometrical perspective. It presents recent results not available in textbooks and also new viewpoints on classical material. In some instances, proofs have been replaced by a detailed analysis of particular cases, referring to the quoted papers for complete proofs. A central role is played by Siegel's finiteness theorem for integral points on curves. The book ends with the analysis of integral points on surfaces.
ISBN: 9789811026485$q(electronic bk.)
Standard No.: 10.1007/978-981-10-2648-5doiSubjects--Topical Terms:
347677
Arithmetical algebraic geometry.
LC Class. No.: QA242.5
Dewey Class. No.: 516.35
Integral points on algebraic varietiesan introduction to diophantine geometry /
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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.
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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.
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Mathematics and Statistics (Springer-11649)
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EB QA242.5 C832 2016
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http://dx.doi.org/10.1007/978-981-10-2648-5
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