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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Pré-publication, Document de travail
28 pages. We generalize the results of the first version of this paper to Cohen-Macaulay spaces. 2015
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https://hal.archives-ouvertes.fr/hal-01248123
Contributeur : Delphine Pol <>
Soumis le : lundi 28 novembre 2016 - 13:52:09
Dernière modification le : lundi 5 février 2018 - 15:00:03
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freeciCM.pdf
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  • HAL Id : hal-01248123, version 2
  • ARXIV : 1512.06778

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Delphine Pol. Characterizations of freeness for Cohen-Macaulay spaces. 28 pages. We generalize the results of the first version of this paper to Cohen-Macaulay spaces. 2015. 〈hal-01248123v2〉

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