Torsors, Étale Homotopy and Applications to Rational Points
(Book #405 in the London Mathematical Society Lecture Note Series)
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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 ?tale 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 ?tale homotopy theory of Artin and Mazur. Part two of the book features a milestone paper on the ?tale 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.
Format:Paperback
Language:English
ISBN:1107616123
ISBN13:9781107616127
Release Date:June 2013
Publisher:Cambridge University Press
Length:468 Pages
Weight:1.45 lbs.
Dimensions:1.0" x 5.9" x 8.9"
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