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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