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On reduction exponents of ideals with Gorenstein formring*

Published online by Cambridge University Press:  20 January 2009

M. Herrmann ,
C. Huneke  and
J. Ribbe
M. Herrmann
Affiliation:
Mathematisches Institut der Univ. zu Koeln, Weyertal 86-90, D-50931 Koeln, Germany E-mail address: herrmann@mi.uni-koeln.de
C. Huneke
Affiliation:
Department of Mathematics, Purdue University, West Lafayette, IN, USA E-mail address: huneke@math.purdue.edu
J. Ribbe
Affiliation:
Mathematisches Institut der Univ. zu Koeln, Weyertal 86-90, D-50931 Koeln, Germany E-mail address: ribbe@mi.uni-koeln.de
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Abstract

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This paper studies questions connected with when the Rees algebra of an ideal or the formring of an ideal is Gorenstein. The main results are for ideals of small analytic deviation, and for m-primary ideals of a regular local ring (R, m). The general point proved is that the Gorenstein property forces (and is sometimes equivalent to) lowering the reduction number of the ideal by one from the value predicted if one only assumes the Rees algebra or formring is Cohen–Macaulay.

Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 38 , Issue 3 , October 1995 , pp. 449 - 463
Copyright
Copyright © Edinburgh Mathematical Society 1995

References

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