LEADER 02854nam 2200577 450 001 996466669603316 005 20220908111753.0 010 $a3-540-49274-7 024 7 $a10.1007/BFb0095503 035 $a(CKB)1000000000437203 035 $a(SSID)ssj0000324859 035 $a(PQKBManifestationID)12079268 035 $a(PQKBTitleCode)TC0000324859 035 $a(PQKBWorkID)10320822 035 $a(PQKB)10251413 035 $a(DE-He213)978-3-540-49274-0 035 $a(MiAaPQ)EBC5592083 035 $a(Au-PeEL)EBL5592083 035 $a(OCoLC)1066181342 035 $a(MiAaPQ)EBC6842356 035 $a(Au-PeEL)EBL6842356 035 $a(PPN)155174649 035 $a(EXLCZ)991000000000437203 100 $a20220908d1995 uy 0 101 0 $aeng 135 $aurnn|008mamaa 181 $ctxt 182 $cc 183 $acr 200 10$aMixed motives and their realization in derived categories /$fAnnette Huber 205 $a1st ed. 1995. 210 1$aBerlin ;$aHeidelberg :$cSpringer-Verlag,$d[1995] 210 4$dİ1995 215 $a1 online resource (XVI, 216 p.) 225 1 $aLecture Notes in Mathematics ;$vVolume 1604 300 $aBibliographic Level Mode of Issuance: Monograph 311 $a3-540-59475-2 327 $aBasic notions -- Derived categories of exact categories -- Filtered derived categories -- Gluing of categories -- Godement resolutions -- Singular cohomology -- De Rham cohomology -- Hodge realization -- 1-adic cohomology -- Comparison functors: 1-adic versus singular realization -- The mixed realization -- The tate twist -- ?-product and internal hom on D MR -- The Künneth morphism -- The Bloch-Ogus axioms -- The Chern class of a line bundle -- Classifying spaces -- Higher Chern classes -- Operations of correspondences -- Grothendieck motives -- Polarizability -- Mixed motives. 330 $aThe conjectural theory of mixed motives would be a universal cohomology theory in arithmetic algebraic geometry. The monograph describes the approach to motives via their well-defined realizations. This includes a review of several known cohomology theories. A new absolute cohomology is introduced and studied. The book assumes knowledge of the standard cohomological techniques in algebraic geometry as well as K-theory. So the monograph is primarily intended for researchers. Advanced graduate students can use it as a guide to the literature. 410 0$aLecture notes in mathematics (Springer-Verlag) ;$vVolume 1604. 606 $aMotives (Mathematics) 615 0$aMotives (Mathematics) 676 $a516.35 700 $aHuber$b Annette$061000 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a996466669603316 996 $aMixed motives and their realization in derived categories$978095 997 $aUNISA