MULTIPLICITY AND COHEN-MACAULAYNESS OF FIBER CONES OF GOOD FILTRATIONS

MULTIPLICITY AND COHEN-MACAULAYNESS OF FIBER CONES OF GOOD FILTRATIONS

Let A be a Noetherian local ring with the maximal ideal m and an m-primary ideal J .Let F ={In}n≥0 be a good filtration of ideals in A. Denote by FJ (F) =⊕n≥0(In/JIn)tn the fiber cone of F with respect to J. In this paper we characterize the multiplicity and the Cohen-Macaulayness of FJ (F) in terms...

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Veröffentlicht in:Kyushu Journal of Mathematics 2011, Vol.65(1), pp.1-13
Hauptverfasser: VIET, Duong Quoc, THANH, Truong Thi Hong
Format: Artikel
Sprache:eng
Schlagworte:
Cohen-Macaulay ring
fiber cone
filtration
multiplicity
weak-(FC)-sequence
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Zusammenfassung:Let A be a Noetherian local ring with the maximal ideal m and an m-primary ideal J .Let F ={In}n≥0 be a good filtration of ideals in A. Denote by FJ (F) =⊕n≥0(In/JIn)tn the fiber cone of F with respect to J. In this paper we characterize the multiplicity and the Cohen-Macaulayness of FJ (F) in terms of minimal reductions of F.
ISSN:1340-6116
1883-2032
DOI:10.2206/kyushujm.65.1