Abstract
Let (R,m) be a local Cohen-Macaulay ring and let I be an m-primary ideal. In this paper we give sharp bounds on the multiplicity of the special fiber ring ℱ of I in terms of other well-known invariants of I. Special attention is then paid in studying when equality holds in these bounds, with a particular interest in the unmixedness or, better, the Cohen-Macaulayness of ℱ.
Original language | English |
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Pages (from-to) | 207-219 |
Number of pages | 13 |
Journal | Mathematical Proceedings of the Cambridge Philosophical Society |
Volume | 140 |
Issue number | 2 |
DOIs | |
State | Published - Mar 2006 |
ASJC Scopus subject areas
- Mathematics (all)