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DUALIZING COMPLEX AND THE CANONICAL ELEMENT CONJECTURE II

Published online by Cambridge University Press:  01 August 1997

S. P. DUTTA
S. P. DUTTA
Affiliation:
Department of Mathematics, University of Illinois, 1409 West Green Street, Urbana 61801, USA. E-mail: [email protected]
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Abstract

In this paper we continue our study of the Canonical Element Conjecture (henceforth C.E.C.) via the dualizing complex. Throughout the work (A, m, k) will denote a noetherian complete local ring A of dimension n, m its maximal ideal and k=A/m. Since A is complete, we can find a complete local Gorenstein ring (R, mR, k) (complete intersection) such that dim R=dim A and A=R/I. Let Ω denote the canonical module of A, that is, Ω=HomR (A, R), which may be identified with the annihilator of I in R, an ideal of R. When A is a domain, we change notation and denote I by P; in this case P is a height 0 prime ideal of R.

Type
Research Article
Information
Journal of the London Mathematical Society , Volume 56 , Issue 1 , August 1997 , pp. 49 - 63
Copyright
The London Mathematical Society 1997

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