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|Title: ||On fiber cones of m-primary ideals|
|Authors: ||JAYANTHAN, AV|
|Keywords: ||macaulay local-rings|
|Issue Date: ||2007|
|Publisher: ||CANADIAN MATHEMATICAL SOC|
|Citation: ||CANADIAN JOURNAL OF MATHEMATICS-JOURNAL CANADIEN DE MATHEMATIQUES, 59(1), 109-126|
|Abstract: ||Two formulas for the multiplicity of the fiber cone F(I) = circle plus(infinity)(n=0) I-n/mI(n) of an in-primary ideal of a d-dimensional Cohen-Macaulay local ring (R, in) are derived in terms of the mixed multiplicity e(d-1) (m vertical bar I), the multiplicity e(I), and superficial elements. As a consequence, the Cohen-Macaulay property of F(I) when I has minimal mixed multiplicity or almost minimal mixed multiplicity is characterized in terms of the reduction number of I and lengths of certain ideals. We also characterize the Cohen-Macaulay and Gorenstein properties of fiber cones of in-primary ideals with a d-generated minimal reduction J satisfying l(I-2/Ji) = I or l(Im/Jm) = 1.|
|Appears in Collections:||Article|
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