Integral points on algebraic varieties : an introduction to diophantine geometry / Pietro Corvaja.
Material type:
TextSeries: Institute of Mathematical Science lecture notes ; 3Publication details: New Delhi : Hindustan Book Agency, 2016.Description: vii, 75 pages ; 25 cmISBN: - 9789380250830
- 516.35 23 C832
| Item type | Current library | Call number | Status | Date due | Barcode | Item holds | |
|---|---|---|---|---|---|---|---|
| Books | ISI Library, Kolkata | 516.35 C832 (Browse shelf(Opens below)) | Available | 137880 |
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| 516.35 C814 Arithmetic geometry / | 516.35 C829 Explicit birational geometry of 3-folds | 516.35 C829 Flips for 3-folds and 4-folds | 516.35 C832 Integral points on algebraic varieties : | 516.35 C877 Ideals,varieties, and algorithms | 516.35 C877 Ideals, varieties and algorithms | 516.35 C877 Using algebraic geometry |
Includes bibliographical references.
1. Integral points on algebraic varieties --
2. Diophantine approximation --
3. The theorems of Thue and Siegel --
4. Hilbert irreducibility theorem --
5. Integral points on surfaces.
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 In some instances, proofs have been replaced by a detailed analysis of particular cases, referring to the quoted papers for complete proofs.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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