A weighted generalization of logarithmic derivation modules and Saito's freeness criterion via wME-schemes enables construction of new families of free divisors in any dimension.
Cox and Evgeny Materov , Tate resolutions for Segre embeddings , Algebra Number Theory 2 (2008), no
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Modules of logarithmic derivations in weighted projective spaces and applications to free divisors
A weighted generalization of logarithmic derivation modules and Saito's freeness criterion via wME-schemes enables construction of new families of free divisors in any dimension.