On the depth of fiber cones of stretched m-primary ideals

A. V. Jayanthan () and Ramakrishna Nanduri ()
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A. V. Jayanthan: Indian Institute of Technology Madras
Ramakrishna Nanduri: Indian Institute of Technology Madras

Indian Journal of Pure and Applied Mathematics, 2014, vol. 45, issue 6, 925-942

Abstract: Abstract In this article, we study certain homological properties of the graded rings associated with stretched m-primary ideals in a Cohen-Macaulay local ring (A, m). We compute the h-polynomial of the fiber cone and using this expression we show that the fiber cone is Gorenstein is equivalent to being hypersurface under certain assumptions. We obtain some inequalities between the Hilbert coefficients of the fiber cone and obtain sufficient conditions for the equality.

Keywords: Fiber cone; associated graded ring; Rees algebra; Cohen-Macaulay; Hilbert series; Hilbert coefficients (search for similar items in EconPapers)
Date: 2014
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DOI: 10.1007/s13226-014-0096-1

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