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Torsors, étale homotopy and applications to rational points. Lecture notes of mini-courses presented at the workshop “Torsors: theory and applications”, Edinburgh, UK, January 10–14, 2011 and at the study group organised in Imperial College, London, UK in autumn 2010. (English) Zbl 1277.14003
London Mathematical Society Lecture Note Series 405. Cambridge: Cambridge University Press (ISBN 978-1-107-61612-7/pbk; 978-1-139-52535-0/ebook). ix, 459 p. (2013).

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The articles of this volume will be reviewed individually.
Indexed articles:
Hausen, Jürgen, Three lectures on Cox rings, 3-60 [Zbl 1291.14016]
Schlank, Tomer M.; Skorobogatov, Alexei N., A very brief introduction to étale homotopy, 61-74 [Zbl 1311.14023]
Serganova, Vera, Torsors and representation theory of reductive groups, 75-119 [Zbl 1310.14040]
Arzhantsev, Ivan V., Torsors over Luna strata, 123-137 [Zbl 1298.14049]
Demarche, Cyril, Abelianization of homogeneous spaces and arithmetic applications, 138-209 [Zbl 1294.14017]
Derenthal, Ulrich; Janda, Felix, Gaussian rational points on a singular cubic surface, 210-230 [Zbl 1290.14013]
Gille, Philippe; Moret-Bailly, Laurent, Algebraic actions of arithmetic groups, 231-249 [Zbl 1317.14101]
Harari, David; Skorobogatov, Alexei N., Descent theory for open varieties, 250-279 [Zbl 1290.14014]
Harpaz, Yonatan; Schlank, Tomer M., Homotopy obstructions to rational points, 280-413 [Zbl 1298.14025]
Hausen, Jürgen; Herppich, Elaine, Factorially graded rings of complexity one, 414-428 [Zbl 1290.13001]
Laface, Antonio; Testa, Damiano, Nef and semiample divisors on rational surfaces, 429-446 [Zbl 1290.14024]
Preu, Thomas, Example of a transcendental 3-torsion Brauer-Manin obstruction on a diagonal quartic surface, 447-459 [Zbl 1290.14015]
MSC:
14-06 Proceedings, conferences, collections, etc. pertaining to algebraic geometry
14F20 Étale and other Grothendieck topologies and (co)homologies
14F35 Homotopy theory and fundamental groups in algebraic geometry
14G05 Rational points
14M17 Homogeneous spaces and generalizations
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