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A generalized Koszul complex. II. Depth and multiplicity

A generalized Koszul complex. II. Depth and multiplicity

parameters.In the last section we construct a double complex which yields the relationship between the Euler-Poincaré characteristic of the Koszul complex of a map and the leading coefficient of the Hilbert polynomial of the map.The double complex is constructed in far more generality than is needed for this paper, but …