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1. CJM 2009 (vol 61 pp. 762)

D'Cruz, Clare; Puthenpurakal, Tony J.
 The Hilbert Coefficients of the Fiber Cone and the \$a\$-Invariant of the Associated Graded Ring Let \$(A,\m)\$ be a Noetherian local ring with infinite residue field and let \$I\$ be an ideal in \$A\$ and let \$F(I) = \bigoplus_{n \geq 0}I^n/\m I^n\$ be the fiber cone of \$I\$. We prove certain relations among the Hilbert coefficients \$f_0(I),f_1(I), f_2(I)\$ of \$F(I)\$ when the \$a\$-invariant of the associated graded ring \$G(I)\$ is negative. Keywords:fiber cone, \$a\$-invariant, Hilbert coefficients of fiber coneCategories:13A30, 13D40

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