000			03062nam a22003618i 4500
001			CR9780511734984
003			UkCbUP
005			20200124160230.0
006			m|||||o||d||||||||
007			cr||||||||||||
008			100325s2004||||enk o ||1 0|eng|d
020			_a9780511734984 (ebook)
020			_z9780521545471 (paperback)
040			_aUkCbUP _beng _erda _cUkCbUP
050	0	0	_aQA564 _b.T73 2004
082	0	0	_a516.3/5 _222
245	0	0	_aTranscendental aspects of algebraic cycles : _bproceedings of the Grenoble Summer School, 2001 / _cedited by S. Müller-Stach and C. Peters.
264		1	_aCambridge : _bCambridge University Press, _c2004.
300			_a1 online resource (xix, 290 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 ; _v313
500			_aTitle from publisher's bibliographic system (viewed on 05 Oct 2015).
505	0	0	_gpt. I. _tIntroductory material -- _g1. _tChow varieties, the Euler-Chow series and the total coordinating ring / _rE. Javier Elizondo -- _g2. _tIntroduction to Lawson homology / _rChris Peters and Siegmund Kosarew -- _gpt. II. _tLawson (co)homology -- _g3. _tTopological properties of the algebraic cycles functor / _rPaulo Limo-Filho -- _gpt. III. _tMotives and motivic cohomology -- _g4. _tLectures on motives / _rJacob P. Murre -- _g5. _tA short introduction to higher Chow groups / _rPhilippe Elbaz-Vincent -- _gpt. IV. _tHodge theoretic invariants of cycles -- _g6. _tThree lectures on the Hodge conjecture / _rJames D. Lewis -- _g7. _tLectures on Nori's connectivity theorem / _rJ. Nagel -- _g8. _tBeilinson's Hodge and Tate conjectures / _rShuji Saito.
520			_aThis is a collection of lecture notes from the Summer School 'Cycles Algébriques; Aspects Transcendents, Grenoble 2001'. The topics range from introductory lectures on algebraic cycles to more advanced material. The advanced lectures are grouped under three headings: Lawson (co)homology, motives and motivic cohomology and Hodge theoretic invariants of cycles. Among the topics treated are: cycle spaces, Chow topology, morphic cohomology, Grothendieck motives, Chow-Künneth decompositions of the diagonal, motivic cohomology via higher Chow groups, the Hodge conjecture for certain fourfolds, an effective version of Nori's connectivity theorem, Beilinson's Hodge and Tate conjecture for open complete intersections. As the lectures were intended for non-specialists many examples have been included to illustrate the theory. As such this book will be ideal for graduate students or researchers seeking a modern introduction to the state-of-the-art theory in this subject.
650		0	_aAlgebraic cycles _vCongresses.
700	1		_aMüller-Stach, Stefan, _d1962- _eeditor.
700	1		_aPeters, C. _q(Chris), _eeditor.
776	0	8	_iPrint version: _z9780521545471
830		0	_aLondon Mathematical Society lecture note series ; _v313.
856	4	0	_uhttps://doi.org/10.1017/CBO9780511734984
999			_c517583 _d517581