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Rees algebras of ideals with low codimension
Author(s):
Susan
Morey;
Bernd
Ulrich
Journal:
Proc. Amer. Math. Soc.
124
(1996),
3653-3661.
MSC (1991):
Primary 13A30;
Secondary 13H10, 13C14
MathSciNet review:
1343713
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Abstract:
For certain grade two perfect ideals, there is an expected description of the equations of the Rees algebra. In this paper, the Cohen-Macaulayness of the Rees algebra, numerical invariants of the ideal, and a condition on the minors of a presentation matrix of the ideal are shown to be related to the equations having this form.
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Additional Information:
Susan
Morey
Affiliation:
Department of Mathematics, Rutgers University, New Brunswick, New Jersey 08903
Address at time of publication:
Department of Mathematics, University of Texas, Austin, Texas 78712
Email:
morey@math.utexas.edu
Bernd
Ulrich
Affiliation:
Department of Mathematics, Michigan State University, East Lansing, Michigan 48824
Email:
ulrich@math.msu.edu
DOI:
10.1090/S0002-9939-96-03470-3
PII:
S 0002-9939(96)03470-3
Keywords:
Analytic spread,
Cohen--Macaulay ring,
reduction number,
Rees algebra
Received by editor(s):
March 31, 1995
Received by editor(s) in revised form:
June 21, 1995
Additional Notes:
The second author was partially supported by the NSF
Communicated by:
Wolmer V. Vasconcelos
Copyright of article:
Copyright
1996,
American Mathematical Society
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