Torsors, Etale Homotopy and Applications to Rational Points (BOK)

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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 etale 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 etale homotopy theory of Artin and Mazur. Part two of the book features a milestone paper on the etale 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.

Produktfakta

Språk Engelsk Engelsk Innbinding Heftet
Utgitt 2013 Forlag
CAMBRIDGE UNIVERSITY PRESS
ISBN 9781107616127 Antall sider 468
Dimensjoner 15,2cm x 22,8cm x 2,4cm Vekt 660 gram
Leverandør Bertram Trading Ltd Andre medvirkende Alexei Skorobogatov
Emner og form Number theory, Algebraic geometry

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