Joint reductions and Rees algebras
1991 ◽
Vol 109
(2)
◽
pp. 335-342
◽
Let R be a Cohen-Macaulay local ring of dimension d, multiplicity e and embedding dimension v. Abhyankar [1] showed that v − d + 1 ≤ e. When equality holds, R is said to have minimal multiplicity. The purpose of this paper is to study the preservation of this property under the formation of Rees algebras of several ideals in a 2-dimensional Cohen-Macaulay (CM for short) local ring. Our main tool is the theory of joint reductions and mixed multiplicities developed by Rees [9] and Teissier[12].
1980 ◽
Vol 32
(5)
◽
pp. 1261-1265
◽
Keyword(s):
2000 ◽
Vol 43
(1)
◽
pp. 100-104
◽
1988 ◽
Vol 110
◽
pp. 81-111
◽
Keyword(s):
1982 ◽
Vol 92
(1)
◽
pp. 35-39
Keyword(s):
1998 ◽
Vol 26
(12)
◽
pp. 4015-4039
◽
Keyword(s):
Keyword(s):
2005 ◽
pp. 97-108
◽