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Item Details
| Title:
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TORSORS, ETALE HOMOTOPY AND APPLICATIONS TO RATIONAL POINTS
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| By: |
Alexei N. Skorobogatov (Editor) |
| Format: |
Paperback |
| List price:
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£54.99 |
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We currently do not stock this item, please contact the publisher directly for
further information.
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| ISBN 10: |
1107616123 |
| ISBN 13: |
9781107616127 |
| Publisher: |
CAMBRIDGE UNIVERSITY PRESS |
| Pub. date: |
18 April, 2013 |
| Series: |
London Mathematical Society Lecture Note Series 405 |
| Pages: |
468 |
| Description: |
Lecture notes and research articles on the use of torsors and etale homotopy in algebraic and arithmetic geometry. |
| Synopsis: |
Torsors, also known as principal bundles or principal homogeneous spaces, are ubiquitous in mathematics. The purpose of this book is to present expository lecture notes and cutting-edge research papers on the theory and applications of torsors and etale homotopy, all written from different perspectives by leading experts. Part one of the book contains lecture notes on recent uses of torsors in geometric invariant theory and representation theory, plus an introduction to the etale homotopy theory of Artin and Mazur. Part two of the book features a milestone paper on the etale homotopy approach to the arithmetic of rational points. Furthermore, the reader will find a collection of research articles on algebraic groups and homogeneous spaces, rational and K3 surfaces, geometric invariant theory, rational points, descent and the Brauer-Manin obstruction. Together, these give a state-of-the-art view of a broad area at the crossroads of number theory and algebraic geometry. |
| Illustrations: |
Illustrations |
| Publication: |
UK |
| Imprint: |
Cambridge University Press |
| Returns: |
Returnable |
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