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Characterizations of freeness for Cohen-Macaulay spaces

Abstract : The purpose of this paper is to develop an analogue of freeness for reduced Cohen-Macaulay spaces embedded in a smooth manifold S which generalizes the notion of Saito free divisors. The main result of this paper is a characterization of freeness in terms of the projective dimension of the module of multi-logarithmic k-forms, where k is the codimension of X in S. We then focus on quasi-homogeneous complete intersection curves, for which we compute explicitly a minimal free resolution of the module of multi-residues and the module of multi-logarithmic forms.
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Contributor : Delphine Pol <>
Submitted on : Monday, November 28, 2016 - 1:52:09 PM
Last modification on : Monday, March 9, 2020 - 6:15:56 PM
Long-term archiving on: : Tuesday, March 21, 2017 - 3:27:57 AM


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  • HAL Id : hal-01248123, version 2
  • ARXIV : 1512.06778



Delphine Pol. Characterizations of freeness for Cohen-Macaulay spaces. 2015. ⟨hal-01248123v2⟩



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