dedicated to william heinzer on the occasion of his 60th birthday Let R m be a Cohen-Macaulay local ring and let I be an m-primary ideal. We introduce ideals of almost minimal mixed multiplicity which are analogues of ideals studied by J. Sally [Compositio Math. 40 (1980), 167-175]. The main theorem describes the Hilbert series of fiber cones of these ideals. 2002 Elsevier Science (USA)
We obtain necessary and sufficient conditions for a finitely supported monomial ideal I in a polynomial ring of dimension at least three for MI to be integrally closed. This is obtained via the higher-dimensional analogue of the formula of Hoskin and Deligne for the length of a finitely supported ideal in a regular local ring.
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