Relative cycles and Chow sheaves

3 Relative cycles. 16 3.1 Relative cycles. . . . . . . . . . . . . . . . . . . . . . . . . . . 16 3.2 Cycles associated with flat subschemes. . . . . . . . . . . . . . 21 3.3 Chow presheaves. . . . . . . . . . . . . . . . . . . . . . . . . . 23 3.4 Relative cycles over geometrically unibranch schemes. . . . . . 33 3.5 Multiplicities of components of inverse images of equidimensional cycles over geometrically unibranch schemes. . . . . . . 36 3.6 Functoriality of Chow presheaves. . . . . . . . . . . . . . . . . 43 3.7 Correspondence homomorphisms. . . . . . . . . . . . . . . . . 49