Torsors and Rational Points
$142.00 ( ) USD
Part of Cambridge Tracts in Mathematics
- Author: Alexei Skorobogatov, Imperial College of Science, Technology and Medicine, London
- Date Published: March 2011
- availability: This ISBN is for an eBook version which is distributed on our behalf by a third party.
- format: Adobe eBook Reader
- isbn: 9780511891649
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The subject of this book is arithmetic algebraic geometry, an area between number theory and algebraic geometry. It is about applying geometric methods to the study of polynomial equations in rational numbers (Diophantine equations). This book represents the first complete and coherent exposition in a single volume, of both the theory and applications of torsors to rational points. Some very recent material is included. It is demonstrated that torsors provide a unified approach to several branches of the theory which were hitherto developing in parallel.
Read more- Gives complete proofs of fundamental theorems alongside detailed discussions of the key examples
- The first book about the Manin obstruction and applications of torsors to rational points
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"An excellent account of the subject for the non-expert." Mathematical Reviews
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×Product details
- Date Published: March 2011
- format: Adobe eBook Reader
- isbn: 9780511891649
- availability: This ISBN is for an eBook version which is distributed on our behalf by a third party.
Table of Contents
1. Introduction
2. Torsors: general theory
3. Examples of torsors
4. Abelian torsors
5. Obstructions over number fields
6. Abelian descent and Manin obstruction
7. Conic bundle surfaces
8. Bielliptic surfaces
9. Homogenous spaces.
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