Geodesic
Characterizations of freeness for equidimensional subspaces
Journal of Singularities, Tome 20 (2020), pp. 1-30

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The purpose of this paper is to investigate properties of the minimal free resolution of the modules of multi-logarithmic forms along a reduced equidimensional subspace. We first consider a notion of freeness for reduced complete intersections, and more generally for reduced equidimensional subspaces embedded in a smooth manifold, which generalizes the notion of Saito free divisors. The first main result is a characterization of freeness in terms of the projective dimension of the module of multi-logarithmic k-forms, where k is the codimension.
DOI : 10.5427/jsing.2020.20a
Classification : 14B05, 13D02, 14M10, 32A27 
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     author = {Delphine Pol},
     title = {Characterizations of freeness for equidimensional subspaces},
     journal = {Journal of Singularities},
     pages = {1--30},
     publisher = {mathdoc},
     volume = {20},
     year = {2020},
     doi = {10.5427/jsing.2020.20a},
     url = {http://geodesic.mathdoc.fr/articles/10.5427/jsing.2020.20a/}
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Delphine Pol. Characterizations of freeness for equidimensional subspaces. Journal of Singularities, Tome 20 (2020), pp. 1-30. doi: 10.5427/jsing.2020.20a

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