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Torsors, Etale Homotopy and Applications to Rational Points: 405 New Edition
Author(s): Alexei N. Skorobogatov
- Publisher: Cambridge University Press
- Publication Date: 18 April 2013
- Edition: New
- Language: English
- Print length: 470 pages
- ISBN-10: 1107616123
- ISBN-13: 9781107616127
Book Description
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.
Editorial Reviews
Book Description
Lecture notes and research articles on the use of torsors and étale homotopy in algebraic and arithmetic geometry.
About the Author
Alexei Skorobogatov is a Professor of Pure Mathematics at Imperial College London. He is the author of Torsors and Rational Points (Cambridge University Press, 2001) and about 60 research papers on arithmetic and algebraic geometry and error-correcting codes. In 2001 he was awarded the Whitehead Prize by the London Mathematical Society.
