Geodesic
RELATIVE HILBERT CO-EFFICIENTS
Glasgow mathematical journal, Tome 59 (2017) no. 3, pp. 729-741

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DOI

Let (A, ${\mathfrak{m}$ ) be a Cohen–Macaulay local ring of dimension d and let I ⊆ J be two ${\mathfrak{m}$ -primary ideals with I a reduction of J. For i = 0,. . .,d, let e i J (A) (e i I (A)) be the ith Hilbert coefficient of J (I), respectively. We call the number c i (I, J) = e i J (A) − e i I (A) the ith relative Hilbert coefficient of J with respect to I. If G I (A) is Cohen–Macaulay, then c i (I, J) satisfy various constraints. We also show that vanishing of some c i (I, J) has strong implications on depth G J n (A) for n ≫ 0. 
MAFI, AMIR; PUTHENPURAKAL, TONY J.; REDDY, RAKESH B. T.; SAREMI, HERO. RELATIVE HILBERT CO-EFFICIENTS. Glasgow mathematical journal, Tome 59 (2017) no. 3, pp. 729-741. doi: 10.1017/S0017089516000525
@article{10_1017_S0017089516000525,
     author = {MAFI, AMIR and PUTHENPURAKAL, TONY J. and REDDY, RAKESH B. T. and SAREMI, HERO},
     title = {RELATIVE {HILBERT} {CO-EFFICIENTS}},
     journal = {Glasgow mathematical journal},
     pages = {729--741},
     year = {2017},
     volume = {59},
     number = {3},
     doi = {10.1017/S0017089516000525},
     url = {http://geodesic.mathdoc.fr/articles/10.1017/S0017089516000525/}
}
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AU  - REDDY, RAKESH B. T.
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%A REDDY, RAKESH B. T.
%A SAREMI, HERO
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