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Preprints, Working Papers, ... Year : 2015

Characterizations of freeness for Cohen-Macaulay spaces

Delphine Pol
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  • PersonId : 772493
  • IdRef : 197720838


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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Dates and versions

hal-01248123 , version 1 (23-12-2015)
hal-01248123 , version 2 (28-11-2016)



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