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STRONGLY COHEN–MACAULAY IDEALS OF SMALL SECOND ANALYTIC DEVIATION

Published online by Cambridge University Press:  28 November 2001

ALBERTO CORSO  and
CLAUDIA POLINI
ALBERTO CORSO
Affiliation:
Department of Mathematics, Michigan State University, E. Lansing, Michigan 48824, U.S.A.; corso@math.msu.edu Current address: Department of Mathematics, University of Kentucky, Lexington, Kentucky 40506, U.S.A.; corso@ms.uky.edu
CLAUDIA POLINI
Affiliation:
Department of Mathematics, University of Oregon, Eugene, Oregon 97403, U.S.A.; polini@math.uoregon.edu
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Abstract

In this paper, the strongly Cohen–Macaulay ideals of second analytic deviation one are characterized in terms of the depth properties of the powers of the ideal in the ‘standard range’. This provides an explanation of the behaviour of certain ideals that have appeared in the literature.

Type
NOTES AND PAPERS
Information
Bulletin of the London Mathematical Society , Volume 33 , Issue 6 , November 2001 , pp. 662 - 668
Copyright
© The London Mathematical Society 2001

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