000			03133nam a2200421 i 4500
005			20250919004355.0
008			150507s2013 riu b 001 0 eng
020			_a9780821894347 (alk. paper) _cRM161.04
020			_a082189434X (alk. paper)
039		9	_a201507271543 _brosli _c201507221201 _dhamudah _y05-07-2015 _zhamudah
040			_aDLC _beng _erda _cDLC _dYDXCP _dZCU _dNDD _dBWX _dMUU _dRBN _dOCLCF _dUKM _erda
090			_aQA564.M873
090			_aQA564 _b.M873
100	1		_aMurre, Jacob P., _d1929-
245	1	0	_aLectures on the theory of pure motives / _cJacob P. Murre, Jan Nagel, Chris A. M. Peters.
264		1	_aProvidence, Rhode Island : _bAmerican Mathematical Society, _c[2013].
264		4	_c©2013.
300			_aix, 149 pages ; _c25 cm.
336			_atext _2rdacontent
337			_aunmediated _2rdamedia
338			_avolume _2rdacarrier
490	1		_aUniversity lecture series ; _vvolume 61
504			_aIncludes bibliographical references (pages 139-144) 4and indexes.
505	0		_a1. Algebraic cycles and equivalence relations -- 2. Motives: construction and first properties -- 3. On Grothendieck's standard conjectures -- 4. Finite dimensionality of motives -- 5. Properties of finite dimensional motives -- 6. Chow-K✹neth decomposition in a special case -- 7. On the conjectural Bloch-Beilinson filtration -- 8. Relative Chow-K✹neth decomposition -- 9. Beyond pure motives.
520	3		_aThe theory of motives was created by Grothendieck in the 1960s as he searched for a universal cohomology theory for algebraic varieties. The theory of pure motives is well established as far as the construction is concerned. Pure motives are expected to have a number of additional properties predicted by Grothendieck's standard conjectures, but these conjectures remain wide open. The theory for mixed motives is still incomplete. This book deals primarily with the theory of pure motives. The exposition begins with the fundamentals: Grothendieck's construction of the category of pure motives and examples. Next, the standard conjectures and the famous theorem of Jannsen on the category of the numerical motives are discussed. Following this, the important theory of finite dimensionality is covered. The concept of Chow-K✹neth decomposition is introduced, with discussion of the known results and the related conjectures, in particular the conjectures of Bloch-Beilinson type. We finish with a chapter on relative motives and a chapter giving a short introduction to Voevodsky's theory of mixed motives -- P. 4 of cover.
650		0	_aMotives (Mathematics).
700	1		_aNagel, Jan.
700	1		_aPeters, C. _q(Chris).
830		0	_aUniversity lecture series ; _vvolume 61
907			_a.b16138326 _b2019-11-12 _c2019-11-12
942			_c01 _n0 _kQA564.M873
914			_avtls003585741
990			_ark4
991			_aFakulti Sains dan Teknologi
998			_at _b2015-07-05 _cm _da _feng _griu _y0 _z.b16138326
999			_c591885 _d591885