000			03373nam a22005055i 4500
001			978-0-8176-4934-0
003			DE-He213
005			20140220084457.0
007			cr nn 008mamaa
008			100301s2010 xxu| s |||| 0|eng d
020			_a9780817649340 _9978-0-8176-4934-0
024	7		_a10.1007/978-0-8176-4934-0 _2doi
050		4	_aQA564-609
072		7	_aPBMW _2bicssc
072		7	_aMAT012010 _2bisacsh
082	0	4	_a516.35 _223
100	1		_aBogomolov, Fedor. _eeditor.
245	1	0	_aCohomological and Geometric Approaches to Rationality Problems _h[electronic resource] : _bNew Perspectives / _cedited by Fedor Bogomolov, Yuri Tschinkel.
250			_a1.
264		1	_aBoston : _bBirkhäuser Boston, _c2010.
300			_aX, 314p. 47 illus. _bonline resource.
336			_atext _btxt _2rdacontent
337			_acomputer _bc _2rdamedia
338			_aonline resource _bcr _2rdacarrier
347			_atext file _bPDF _2rda
490	1		_aProgress in Mathematics ; _v282
505	0		_aThe Rationality of Certain Moduli Spaces of Curves of Genus 3 -- The Rationality of the Moduli Space of Curves of Genus 3 after P. Katsylo -- Unramified Cohomology of Finite Groups of Lie Type -- Sextic Double Solids -- Moduli Stacks of Vector Bundles on Curves and the King–Schofield Rationality Proof -- Noether’s Problem for Some -Groups -- Generalized Homological Mirror Symmetry and Rationality Questions -- The Bogomolov Multiplier of Finite Simple Groups -- Derived Categories of Cubic Fourfolds -- Fields of Invariants of Finite Linear Groups -- The Rationality Problem and Birational Rigidity.
520			_aRationality problems link algebra to geometry. The difficulties involved depend on the transcendence degree over the ground field, or geometrically, on the dimension of the variety. A major success in 19th century algebraic geometry was a complete solution of the rationality problem in dimensions one and two over algebraically closed ground fields of characteristic zero. These advances have led to many interdisciplinary applications of algebraic geometry. This comprehensive text consists of surveys and research papers by leading specialists in the field. Topics discussed include the rationality of quotient spaces, cohomological invariants of finite groups of Lie type, rationality of moduli spaces of curves, and rational points on algebraic varieties. This volume is intended for research mathematicians and graduate students interested in algebraic geometry, and specifically in rationality problems. I. Bauer C. Böhning F. Bogomolov F. Catanese I. Cheltsov N. Hoffmann S.-J. Hu M.-C. Kang L. Katzarkov B. Kunyavskii A. Kuznetsov J. Park T. Petrov Yu. G. Prokhorov A.V. Pukhlikov Yu. Tschinkel
650		0	_aMathematics.
650		0	_aGeometry, algebraic.
650		0	_aGroup theory.
650		0	_aTopological Groups.
650	1	4	_aMathematics.
650	2	4	_aAlgebraic Geometry.
650	2	4	_aTopological Groups, Lie Groups.
650	2	4	_aGroup Theory and Generalizations.
700	1		_aTschinkel, Yuri. _eeditor.
710	2		_aSpringerLink (Online service)
773	0		_tSpringer eBooks
776	0	8	_iPrinted edition: _z9780817649333
830		0	_aProgress in Mathematics ; _v282
856	4	0	_uhttp://dx.doi.org/10.1007/978-0-8176-4934-0
912			_aZDB-2-SMA
999			_c109920 _d109920