Inverse limits of Macaulay's inverse systems

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.

arXiv comment17 pages

References in corpus (3)

• The Jacobian module, the Milnor fiber, and the $D$-module generated by $f^s$
• The structure of the inverse system of Gorenstein k-algebras
• Inverse-syst.lib, Singular library for computing Macaulay's inverse systems

Cited by in corpus (2)

• Gorenstein algebras and toric bundles
• Almost finitely generated inverse systems and reduced k-algebras