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Torsors, Étale Homotopy and Applications to Rational Points by Skorobogatov, Alexei is a scholarly article available to read on EtoBox.

What is Torsors, Étale Homotopy and Applications to Rational Points about?

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

Skorobogatov, Alexei

Publisher

Cambridge University Press (Virtual Publishing)

Published

2013

Language

EN

ISBN

9781107241886