# HILBERT COEFFICIENTS AND THE DEPTHS OF ASSOCIATED GRADED RINGS

@inproceedings{Huckaba1997HILBERTCA, title={HILBERT COEFFICIENTS AND THE DEPTHS OF ASSOCIATED GRADED RINGS}, author={Sam Huckaba and Thomas Marley}, year={1997} }

This work was motivated in part by the following general question:
given an ideal I in a Cohen–Macaulay (abbreviated to CM)
local ring R such that dim R / I =0, what information about I and its associated graded ring can be obtained from the Hilbert function and Hilbert polynomial of I ? By the Hilbert (or Hilbert–Samuel) function of I , we mean the function H I ( n )
=λ( R / I n ) for all n [ges ]1, where λ denotes length. Samuel [ 23 ] showed that for large values of n , the function H I… CONTINUE READING

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