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A numerical characterization of the S2-ification of a Rees algebra

✍ Scribed by Cătălin Ciupercă

Publisher
Elsevier Science
Year
2003
Tongue
English
Weight
218 KB
Volume
178
Category
Article
ISSN
0022-4049

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✦ Synopsis

Let A be a local ring with maximal ideal m. For an arbitrary ideal I of A, we deÿne the generalized Hilbert coe cients j k (I ) ∈ Z k+1 (0 6 k 6 dim A). When the ideal I is m-primary, j k (I ) = (0; : : : ; 0; (-1) k e k (I )), where e k (I ) is the classical kth Hilbert coe cient of I . Using these coe cients we give a numerical characterization of the homogeneous components of the S2-iÿcation of S = A[It; t -1 ], extending previous results obtained by the author to not necessarily m-primary ideals.

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