Hilbert Series of Fiber Cones of Ideals with Almost Minimal Mixed Multiplicity,

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.