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Torsors, Étale Homotopy and Applications to Rational Points by Alexei N. Skorobogatov (Imperial College London) at Abbey's Bookshop,
Torsors, Étale Homotopy and Applications to Rational Points
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Alexei N. Skorobogatov (Imperial College London)

Torsors, Étale Homotopy and Applications to Rational Points

Alexei N. Skorobogatov (Imperial College London)

$71.95

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English
Cambridge University Press
18 April 2013
Number theory; Algebraic geometry
Series: London Mathematical Society Lecture Note Series
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.
Edited by:  
Imprint:   Cambridge University Press
Country of Publication:   United Kingdom
Volume:   405
Dimensions:   Height: 227mm,  Width: 151mm,  Spine: 24mm
Weight:   660g
ISBN:   9781107616127
ISBN 10:   1107616123
Series:   London Mathematical Society Lecture Note Series
Pages:   468
Publication Date:  
Audience:   College/higher education ,  Primary
Format:   Paperback
Publisher's Status:   Active

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.

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