MULTIPLICITY AND COHEN-MACAULAYNESS OF FIBER CONES OF GOOD FILTRATIONS

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概要

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• 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.

著者

• THANH Truong

  Department of Mathematics Hanoi National University of Education

• Viet Duong

  Department of Mathematics Hanoi National University of Education

関連論文

• MULTIPLICITY AND COHEN-MACAULAYNESS OF FIBER CONES OF GOOD FILTRATIONS
• ON THE MULTIPLICITY OF REES ALGEBRAS OF GOOD FILTRATIONS

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