Header menu link for other important links
X
On fiber cones of m-primary ideals
Published in Canadian Mathematical Society
2007
Volume: 59
   
Issue: 1
Pages: 109 - 126
Abstract
Two formulas for the multiplicity of the fiber cone F(I) = ⊕n=0∞ In/mIn of an m-primary ideal of a d-dimensional Cohen-Macaulay local ring (R, m) are derived in terms of the mixed multiplicity ed-1(m\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 / and lengths of certain ideals. We also characterize the Cohen-Macaulay and Gorenstein properties of fiber cones of m-primary ideals with a d-generated minimal reduction J satisfying ℓ(I2/JI) = 1 or ℓ(Im/Jm) = 1. ©Canadian Mathematical Society 2007.
About the journal
JournalCanadian Journal of Mathematics
PublisherCanadian Mathematical Society
ISSN0008414X
Open AccessYes