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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

Rees algebras of ideals
with low codimension


Authors: Susan Morey and 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: http://dx.doi.org/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
Article copyright: © Copyright 1996 American Mathematical Society