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001 CR9780511721496
003 UkCbUP
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020 _a9780511721496 (ebook)
020 _z9780521701747 (paperback)
040 _aUkCbUP
_beng
_erda
_cUkCbUP
050 0 0 _aQA564
_b.A187 2007
082 0 0 _a516.35
_222
245 0 0 _aAlgebraic cycles and motives.
_nVolume 1 /
_cedited by Jan Nagel, Chris Peters.
246 3 _aAlgebraic Cycles & Motives
264 1 _aCambridge :
_bCambridge University Press,
_c2007.
300 _a1 online resource (xiv, 292 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 ;
_v343
500 _aTitle from publisher's bibliographic system (viewed on 05 Oct 2015).
520 _aAlgebraic geometry is a central subfield of mathematics in which the study of cycles is an important theme. Alexander Grothendieck taught that algebraic cycles should be considered from a motivic point of view and in recent years this topic has spurred a lot of activity. This 2007 book is one of two volumes that provide a self-contained account of the subject. Together, the two books contain twenty-two contributions from leading figures in the field which survey the key research strands and present interesting new results. Topics discussed include: the study of algebraic cycles using Abel-Jacobi/regulator maps and normal functions; motives (Voevodsky's triangulated category of mixed motives, finite-dimensional motives); the conjectures of Bloch-Beilinson and Murre on filtrations on Chow groups and Bloch's conjecture. Researchers and students in complex algebraic geometry and arithmetic geometry will find much of interest here.
650 0 _aAlgebraic cycles
_vCongresses.
650 0 _aMotives (Mathematics)
_vCongresses.
700 1 _aNagel, Jan,
_eeditor.
700 1 _aPeters, C.
_q(Chris),
_eeditor.
776 0 8 _iPrint version:
_z9780521701747
830 0 _aLondon Mathematical Society lecture note series ;
_v343.
856 4 0 _uhttps://doi.org/10.1017/CBO9780511721496
999 _c518683
_d518681