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References
A. Beilinson, Height pairing between algebraic cycles, in K-theory, Arithmetic and Geometry, Lect. Notes in Math. 1289, Springer, Berlin, 1987, pp. 1–26.
A. Beilinson, J. Bernstein, P. Deligne, Faisceaux pervers, Astérisque, 100 (1982).
S. Bloch, Lectures on algebraic cycles, Duke University Mathematical Series 4, 1980.
S. Bloch, A. Ogus, Gersten's conjecture and the homology of schemes, Ann. Sci. École Norm. Sup. (4) 7 (1974), 181–201.
P. Deligne, Théorie de Hodge I, Actes Congrès Intern. Math. (1970), 425–430;II, Publ. Math. IHES, 40 (1971), 5–58;III, ibid. 44 (1974), 5–77.
P. Deligne, Le formalisme des cycles évanescents, in SGA7 XIII and XIV, Lecture Notes in Math. 340, Springer, Berlin, 1973, pp. 82–115 and 116–164.
W. Fulton, Intersection theory, Springer, Berlin, 1984.
Ph. Griffiths, Some transcendental methods in the study of algebraic cycles, in Lect. Notes in Math. 185, Springer, Berlin, 1971, pp. 1–46.
A. Grothendieck, Hodge's general conjecture is false for trivial reasons, Topology 8 (1969), 299–303.
M. Saito, Modules de Hodge polarisables, Publ. RIMS, Kyoto Univ. 24 (1988), 849–995.
M. Saito, Mixed Hodge Modules, Publ. RIMS, Kyoto Univ. 26 (1990), 221–333.
M. Saito, Introduction to mixed Hodge Modules, Astérisque, 179–180 (1989), 145–162.
M. Saito, Extension of mixed Hodge Modules, Compo. Math. 74 (1990), 209–234.
M. Saito, Hodge conjecture and mixed motives I, preprint MIT, Sept. 1989 (to appear in Proc. Symp. Pure Math. AMS).
J.-L. Verdier, Catégories dérivées, Etat 0, in SGA 4 ½, Lecture Note in Math. 569, Springer, Berlin, 1977, pp. 262–308.
S. Bloch, Algebraic cycles and higher K-theory, Advances in Math., 61 (1986), 267–304.
P. Deligne, Le groupe fondamental de la droite projective moins trois points, in Galois groups over Q, Springer, New York, 1989, pp. 79–297.
U. Jannsen: Deligne homology, Hodge D-conjecture, and motives, in Beilinson's conjecture on special value of L-function, Academic Press, Boston, 1988, pp. 305–372.
U. Jannsen, Mixed motives and algebraic K-theory, Lect. Notes in Math., vol. 1400, Springer, Berlin, 1900.
J.P. Murre, On the motive of an algebraic surface, J. reine angew. Math. 409 (1990), 190–204.
M. Saito, On the injectivity of cycle maps, preprint RIMS-721, 1990.
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Saito, M. (1991). Hodge conjecture and mixed motives II. In: Algebraic Geometry. Lecture Notes in Mathematics, vol 1479. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0086271
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DOI: https://doi.org/10.1007/BFb0086271
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