Description

Book Synopsis
This book, first published in 2001, is a detailed exposition, in a single volume, of both the theory and applications of torsors to rational points. It is demonstrated that torsors provide a unified approach to several branches of the theory which were hitherto developing in parallel.

Trade Review
'… the book provides an excellent account of the subject for the non-expert.' T. Szamuely, Zentralblatt für Mathematik
'The book is written in a clear and lucid manner with detailed examples that balance the abstract theory with concrete facts. It is reasonably self-contained and can therefore be recommended to newcomers to the recent development of the descent'. EMS

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.

Torsors and Rational Points 144 Cambridge Tracts in Mathematics Series Number 144

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    A Hardback by Alexei Skorobogatov

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      View other formats and editions of Torsors and Rational Points 144 Cambridge Tracts in Mathematics Series Number 144 by Alexei Skorobogatov

      Publisher: Cambridge University Press
      Publication Date: 7/5/2001 12:00:00 AM
      ISBN13: 9780521802376, 978-0521802376
      ISBN10: 0521802377
      Also in:
      Mathematics Geometry

      Description

      Book Synopsis
      This book, first published in 2001, is a detailed exposition, in a single volume, of both the theory and applications of torsors to rational points. It is demonstrated that torsors provide a unified approach to several branches of the theory which were hitherto developing in parallel.

      Trade Review
      '… the book provides an excellent account of the subject for the non-expert.' T. Szamuely, Zentralblatt für Mathematik
      'The book is written in a clear and lucid manner with detailed examples that balance the abstract theory with concrete facts. It is reasonably self-contained and can therefore be recommended to newcomers to the recent development of the descent'. EMS

      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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