The Hilbert Coefficients of the fiber cone and the $a$-invariant of the associated graded ring

Details The Hilbert Coefficients of the fiber cone and the $a$-invariant of the associated graded ring The Hilbert Coefficients of the fiber cone and the $a$-invariant of the associated graded ring

2006-01-22

arxiv.org/abs/math/0601510v2

Mathematics

Commutative Algebra

To appear in Canadian Journal of Math. Many examples added in section 5 on analytic spread three. Introduction is longer and m

Scientific paper

Let $(A,\m)$ be a Noetherian local ring with infinite residue field and let
$I$ be an ideal in $A$ and let $F(I) = \oplus_{n \geq 0}I^n/\m I^n$ be the
fiber-cone of $I$. We prove certain relations among the Hilbert coefficients of
$F(I)$ when the $a$-invariant of the associated graded ring $G(I)$ is negative.

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