Geodesic
Locally Quasi-Homogeneous Free Divisors Are Koszul Free
Trudy Matematicheskogo Instituta imeni V.A. Steklova, Monodromy in problems of algebraic geometry and differential equations, Tome 238 (2002), pp. 81-85.

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Let $X$ be a complex analytic manifold and $D\subset X$ be a free divisor. If $D$ is locally quasi-homogeneous, then the logarithmic de Rham complex associated to $D$ is quasi-isomorphic to $\mathbf R j_\ast (\mathbb C_{X\setminus D})$, which is a perverse sheaf. On the other hand, the logarithmic de Rham complex associated to a Koszul-free divisor is perverse. In this paper, we prove that every locally quasi-homogeneous free divisor is Koszul free. 
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F. Calderón-Moreno; L. Narváez-Macarro. Locally Quasi-Homogeneous Free Divisors Are Koszul Free. Trudy Matematicheskogo Instituta imeni V.A. Steklova, Monodromy in problems of algebraic geometry and differential equations, Tome 238 (2002), pp. 81-85. http://geodesic.mathdoc.fr/item/TM_2002_238_a3/

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