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Torsors, étale homotopy and applications to rational points /
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 perspect...
| Clasificación: | Libro Electrónico |
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| Otros Autores: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés Francés |
| Publicado: |
Camdridge, UK ; New York :
Cambridge University Press,
2013.
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| Colección: | London Mathematical Society lecture note series ;
405. |
| Temas: | |
| Acceso en línea: | Texto completo |
| Sumario: | 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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| Descripción Física: | 1 online resource (ix, 459 pages) : illustrations |
| Bibliografía: | Includes bibliographical references. |
| ISBN: | 9781107250550 1107250552 9781139525350 1139525352 9781107241886 110724188X 9781107248892 1107248892 1139891936 9781139891936 1107251389 9781107251380 1107249724 9781107249721 |