Hidden Bibliographic Details
| Other authors / contributors: | Skorobogatov, Alexei, 1961-
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| ISBN: | 9781107250550
1107250552
9781139525350
1139525352
9781107241886
110724188X
9781107248892
1107248892
1139891936
9781139891936
1107251389
9781107251380
1107249724
9781107249721
9781107616127
1107616123
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| Digital file characteristics: | data file
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| Notes: | Includes bibliographical references.
Chiefly in English, with two papers in French.
Print version record.
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| Summary: | 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 étale 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 étale homotopy theory of Artin and Mazur. Part two of the book features a milestone paper on the étale 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.
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| Other form: | Print version: Torsors, étale homotopy and applications to rational points. Camdridge, UK ; New York : Cambridge University Press, 2013 9781107616127
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