TY - JOUR
T1 - Multiplicity of the special fiber of blowups
AU - Corso, Alberto
AU - Polini, Claudia
AU - Vasconcelos, Wolmer V.
PY - 2006/3
Y1 - 2006/3
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=33244492503&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=33244492503&partnerID=8YFLogxK
U2 - 10.1017/S0305004105009023
DO - 10.1017/S0305004105009023
M3 - Article
AN - SCOPUS:33244492503
SN - 0305-0041
VL - 140
SP - 207
EP - 219
JO - Mathematical Proceedings of the Cambridge Philosophical Society
JF - Mathematical Proceedings of the Cambridge Philosophical Society
IS - 2
ER -