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Torsors, Étale Homotopy and Applications to Rational Points
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Torsors, Étale Homotopy and Applications to Rational Points

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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.

Author Biography:

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.
Release date Australia
April 18th, 2013
Audience
  • Tertiary Education (US: College)
Contributor
  • Edited by Alexei N. Skorobogatov
Pages
468
Dimensions
151x227x24
ISBN-13
9781107616127
Product ID
21041740

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