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

Voir la notice de l'article provenant de la source Cambridge University Press

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
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     title = {RELATIVE {HILBERT} {CO-EFFICIENTS}},
     journal = {Glasgow mathematical journal},
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