000			03827nam a22004338i 4500
001			CR9781139525350
003			UkCbUP
005			20200124160231.0
006			m|||||o||d||||||||
007			cr||||||||||||
008			120619s2013||||enk o ||1 0|eng|d
020			_a9781139525350 (ebook)
020			_z9781107616127 (paperback)
040			_aUkCbUP _beng _erda _cUkCbUP
041	0		_aeng _afre
050		4	_aQA251.3 _b.T67 2013
082	0	4	_a512 _222
245	0	0	_aTorsors, étale homotopy and applications to rational points / _cedited by Alexei N. Skorobogatov.
246	3		_aTorsors, Étale Homotopy & Applications to Rational Points
264		1	_aCambridge : _bCambridge University Press, _c2013.
300			_a1 online resource (ix, 459 pages) : _bdigital, PDF file(s).
336			_atext _btxt _2rdacontent
337			_acomputer _bc _2rdamedia
338			_aonline resource _bcr _2rdacarrier
490	1		_aLondon Mathematical Society lecture note series ; _v405
500			_aTitle from publisher's bibliographic system (viewed on 05 Oct 2015).
500			_a"The workshop 'Torsors: theory and applications' took place at the International Centre for Mathematical Sciences in Edinburgh from 10-14 January 2011 ... This collection contains the lecture notes of two mini-courses presented at the workshop by Jürgen Hausen and Vera Serganova, as well as the papers contributed by participants"--Preface.
505	0		_aLecture notes: Three lectures on Cox rings / J. Hausen. A very brief introduction to étale homotopy / T.M. Schlank and A.N. Skorobogatov. Torsors and representation theory of reductive groups / V. Serganova -- Contributed papers: Torsors over Luna strata / I.V. Arzhantsev. Abélianisation des espaces homogènes et applications arithmétiques / C. Demarche. Gaussian rational points on a singular cubic surface / U. Derenthal and F. Janda. Actions algébriques de groupes arithmétiques / P. Gille and L. Moret-Bailly. Descent theory for open varieties / D. Harari and A.N. Skorobogatov. Homotopy obstructions to rational points / Y. Harpaz and T.M. Schlank. Factorially graded rings of complexity one / J. Hausen and E. Herppich. Nef and semiample divisors on rational surfaces / A. Laface and D. Testa. Example of a transcendental 3-torsion Brauer-Manin obstruction on a diagonal quartic surface / T. Preu.
520			_aTorsors, 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.
650		0	_aTorsion theory (Algebra) _vCongresses.
650		0	_aHomotopy theory _vCongresses.
650		0	_aRational points (Geometry) _vCongresses.
650		0	_aHomogeneous spaces _vCongresses.
650		0	_aGeometry, Algebraic _vCongresses.
700	1		_aSkorobogatov, Alexei, _d1961- _eeditor.
776	0	8	_iPrint version: _z9781107616127
830		0	_aLondon Mathematical Society lecture note series ; _v405.
856	4	0	_uhttps://doi.org/10.1017/CBO9781139525350
999			_c517664 _d517662