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On the Cohen-Macaulayness of fiber cones
Authors:Duong Quô  c Vid ê  t
Affiliation:Department of Mathematics, Hanoi University of Education, Xuan Thuy Street, Hanoi, Vietnam
Abstract:Let $ A$ be a Noetherian local ring with the maximal ideal $ {mathfrak{m}}$ and $ I$ an ideal of $ A.$ Denote by $ F_{A}(I) = underset {{nge 0} }{bigoplus }(I^{n}/{mathfrak{m}}I^{n})$ the fiber cone of $ I.$ This paper characterizes the multiplicity and the Cohen-Macaulayness of fiber cones in terms of minimal reductions of ideals.

Keywords:Cohen-Macaulay ring   multiplicity   fiber cone
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