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Mixed buchsbaum-rim multiplicities

Mixed buchsbaum-rim multiplicities

We prove the results about mixed Buchsbaum-Rim multiplicities announced in [6, (9.10)(ii), p. 224], including a general mixed-multiplicity formula. In addition, we identify these multiplicities as the coefficients of the "leading form" of the appropriate Buchsbaum-Rim polynomial in three variables, and we prove a positivity theorem. In fact, we define …