Fiber cones of ideals with almost minimal multiplicity
Commutative Algebra
2007-05-23 v1 Algebraic Geometry
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.
Cite
@article{arxiv.math/0212196,
title = {Fiber cones of ideals with almost minimal multiplicity},
author = {A. V. Jayanthan and J. K. Verma},
journal= {arXiv preprint arXiv:math/0212196},
year = {2007}
}
Comments
17 pages