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Integral points on algebraic varieties[electronic resource] :an introduction to diophantine geometry /

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
杜威分類號:	516.35
書名/作者:	Integral points on algebraic varieties : an introduction to diophantine geometry // by Pietro Corvaja.
作者:	Corvaja, Pietro.
出版者:	Singapore : : Springer Singapore :, 2016.
面頁冊數:	ix, 75 p. : : ill., digital ;; 24 cm.
Contained By:	Springer eBooks
標題:	Arithmetical algebraic geometry.
標題:	Integral representations.
標題:	Algebraic varieties.
標題:	Mathematics.
標題:	Algebra.
標題:	Integral Equations.
標題:	Geometry.
ISBN:	9789811026485
ISBN:	9789811026478
內容註:	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.
摘要、提要註:	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 In some instances, proofs have been replaced by a detailed analysis of particular cases, referring to the quoted papers for complete proofs.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.
電子資源:	http://dx.doi.org/10.1007/978-981-10-2648-5

Integral points on algebraic varieties[electronic resource] :an introduction to diophantine geometry /
Corvaja, Pietro.

Integral points on algebraic varietiesan 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

Standard No.: 10.1007/978-981-10-2648-5doiSubjects--Topical Terms:

687703
Arithmetical algebraic geometry.

LC Class. No.: QA242.5

Dewey Class. No.: 516.35

Integral points on algebraic varieties[electronic resource] :an introduction to diophantine geometry /
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