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Fiber Cones of Ideals with Almost Minimal Multiplicity

Published online by Cambridge University Press:  11 January 2016

A. V. Jayanthan  and
J. K. Verma
A. V. Jayanthan
Affiliation:
Harish-Chandra Research Institute, Chhatnag Road, Jhunsi, Allahabad - 211019, India, [email protected]
J. K. Verma
Affiliation:
Department of Mathematics, Indian Institute of Technology, Bombay, Powai, Mumbai - 400076, India, [email protected]
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Abstract

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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.

Keywords

13H1013H1513C1513A02
Type
Research Article
Information
Nagoya Mathematical Journal , Volume 177 , 2005 , pp. 155 - 179
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 2005

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