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References
[B] Borel, A.: Intersection homology. Prog. Math. Basel Boston Stuttgart: Birkhäuser 1984
[BFM] Baum, P., Fulton, W., MacPherson, R.: Riemann-Roch for singular varieties. I.H.E.S. Publ.45, 101–145 (1975)
[C] Collino, A.: QuillenK-theory and algebraic cycles on almost non-singular varieties. Ill. J. Math.25, 654–666 (1981)
[C2] Collino, A.: Torsion in the Chow group of codimension two: the case of varieties with isolated singularities. J. Pure Appl. Algebra34, 147–153 (1984)
[CG] Clemens, C.H., Griffiths, P.: The intermediate Jacobian of the cubic threefold. Ann. Math.95, 281–356 (1972)
[CT-S-S] Colliot-Thélène, J.-L., Sansuc, J.-J., Soulé, C.: Torsion dans le groupe de Chow de codimension deux. Duke Math. J.51, (1984)
[D] Deligne, P.: Théorie de Hodge II. Publ. Math. IHES40, (1971)
[DHM] Dutta, S., Hochster, M.: McLaughlin, J.L.: Modules of finite projective dimension with negative intersection multiplicities. Invent. Math.79, 253–292 (1985)
[Gi] Gillet, H.: Riemann-Roch for higherK-theory. Adv. Math.40, 203–289 (1981)
[GG] Gillet, H., Grayson, D.: The loop space of theQ-construction. (Preprint 1985)
[G] Grayson, D.: Exact sequence in algebraicK-theory (Preprint 1985)
[L] Levine, M.: Modules of finite length andK-theory of surface singularities. Comp. Math.59, 21–40 (1986)
[L2] Levine, M.: Zero cycles andK-theory on singular varieties. In: Algebraic Geometry Bowdoin 1985. Bloch, S. et al. (eds.) AMS Proc. Sym. Pure Math.46, 451–462 (1987)
[M] Murre, J.P.: Applications of algebraicK-theory to the theory of algebraic cycles (Lect. Notes Math. Vol. 1124). Berlin Heidelberg New York: Springer 1985
[Q] Quillen, D.: Higher AlgebraicK-theory I. In: Bass, H. (ed.) AlgebraicK-theory I (Lect. Notes Math. Vol. 341). Berlin Heidelberg New York: Springer 1972
[Q2] Quillen, D.: Higher AlgebraicK-theory II. In: AlgebraicK-theory, Evanston (Lect. Notes Math. Vol. 551). Berlin Heidelberg New York: Springer 1975
[R] Roberts, J.: Chow's moving lemma. In: Oort, F. (ed). Algebraic geometry. Oslo 1970, pp. 53–82, Wolters-Noordhoff, Groningen 1972
[S] Swan, R.:K-theory of quadric hypersurfaces. Ann. Math.122, 113–154 (1985)
[Se] Serre, J.P.: Algebra locale: multiplicites. (Lect. Notes Math. Vol. 11). Berlin Heidelberg New York: Springer 1965
[Sr1] Srinivas, V.: Zero cycles on a singular surface. I. J. Reine Angew. Math.359, 90–105 (1985)
[Sr2] Srinivas, V.: Zero cycles on a singular surface. II. J. Reine Angew. Math.362, 4–27 (1985)
[Sr3] Srinivas, V.: Modules of finite length and Chow groups of surfaces with rational double points. III. J. Math.31, 36–81 (1987)
[Z] Zariski, O.: The theorem of Bertini on the variable singular points of a linear system of varieties. Trans. Am. Math. Soc.56, 130–140 (1944)
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Levine, M. Localization on singular varieties. Invent Math 91, 423–464 (1988). https://doi.org/10.1007/BF01388780
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DOI: https://doi.org/10.1007/BF01388780