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Integral Points on Algebraic Varieties : An Introduction to Diophantine Geometry / by Pietro Corvaja.
Springer Nature - Springer Mathematics and Statistics eBooks 2016 English International Available online
View online- Format:
- Book
- Author/Creator:
- Corvaja, Pietro, Author.
- Series:
- IMSc Lecture Notes in Mathematics, 2509-8098
- Language:
- English
- Subjects (All):
- Algebra.
- Integral equations.
- Geometry.
- Integral Equations.
- Local Subjects:
- Algebra.
- Integral Equations.
- Geometry.
- Physical Description:
- 1 online resource (IX, 75 p. 1 illus.)
- Edition:
- 1st ed. 2016.
- Place of Publication:
- Singapore : Springer Nature Singapore : Imprint: Springer, 2016.
- Summary:
- 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 In some instances, proofs have been replaced by a detailed analysis of particular cases, referring to the quoted papers for complete proofs.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.
- Contents:
- 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.
- Notes:
- Includes bibliographical references.
- ISBN:
- 981-10-2648-3
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