English

Inverse limits of Macaulay's inverse systems

Commutative Algebra 2019-02-15 v3

Abstract

Generalizing a result of Masuti and the second author, we describe inverse limits of Macaulay's inverse systems for Cohen-Macaulay factor algebras of formal power series or polynomial rings over an infinite field. On the way we find a strictness result for filtrations defined by regular sequences. It generalizes both a lemma of Uli Walther and the Rees isomorphism.

Keywords

Cite

@article{arxiv.1803.06215,
  title  = {Inverse limits of Macaulay's inverse systems},
  author = {Mathias Schulze and Laura Tozzo},
  journal= {arXiv preprint arXiv:1803.06215},
  year   = {2019}
}

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17 pages