Torsors, étale homotopy and applications to rational points /

Torsors, étale homotopy and applications to rational points /

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Bibliographic Details
Imprint:	Camdridge, UK ; New York : Cambridge University Press, 2013.
Description:	1 online resource (ix, 459 pages) : illustrations
Language:	English French
Series:	London Mathematical Society lecture note series ; 405 London Mathematical Society lecture note series ; 405.
Subject:	Homotopy groups -- Congresses. Homotopy theory -- Congresses. Rational points (Geometry) -- Congresses. Homogeneous spaces -- Congresses. Geometry, Algebraic -- Congresses. Geometry, Algebraic. Homogeneous spaces. Homotopy groups. Homotopy theory. Rational points (Geometry) Conference papers and proceedings.
Format:	E-Resource Book
URL for this record:	http://pi.lib.uchicago.edu/1001/cat/bib/11831612

Hidden Bibliographic Details
Other authors / contributors:	Skorobogatov, Alexei, 1961-
ISBN:	9781107250550 1107250552 9781139525350 1139525352 9781107241886 110724188X 9781107248892 1107248892 1139891936 9781139891936 1107251389 9781107251380 1107249724 9781107249721 9781107616127 1107616123
Digital file characteristics:	data file
Notes:	Includes bibliographical references. Chiefly in English, with two papers in French. Print version record.
Summary:	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.
Other form:	Print version: Torsors, étale homotopy and applications to rational points. Camdridge, UK ; New York : Cambridge University Press, 2013 9781107616127

Description
Physical Description:	1 online resource (ix, 459 pages) : illustrations
Bibliography:	Includes bibliographical references.
ISBN:	9781107250550 1107250552 9781139525350 1139525352 9781107241886 110724188X 9781107248892 1107248892 1139891936 9781139891936 1107251389 9781107251380 1107249724 9781107249721 9781107616127 1107616123