Author:
Jayanthan A. V.,Verma J. K.
Abstract
Fiber cones of 0-dimensional ideals with almost minimal multiplicity in Cohen-Macaulay local rings are studied. Ratliff-Rush closure of filtration of ideals with respect to another ideal is introduced. This is used to find a bound on the reduction number with respect to an ideal. Rossi’s bound on reduction number in terms of Hilbert coefficients is obtained as a consequence. Sufficient conditions are provided for the fiber cone of 0-dimensional ideals to have almost maximal depth. Hilbert series of such fiber cones are also computed.
Publisher
Cambridge University Press (CUP)
Reference36 articles.
1. On the Cohen-Macaulayness of the fiber cone of an ideal
2. Resolution of Singularities of an Algebraic Variety Over a Field of Characteristic Zero: I
3. Fiber cones and the integral closure of ideals;Hübl;Collect. Math.,2001
4. A numerical criterion for the permissibility of a blowing-up;Singh;Compositio Math.,1976
5. Evolutions and valuations associated to an ideal;Hübl;Jour. Reine angew. Math.,1999
Cited by
19 articles.
订阅此论文施引文献
订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献