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Logarithmic differential operators and logarithmic de Rham complexes relative to a free divisor

Francisco Calderón-Moreno
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Abstract

We prove a structure theorem for the differential operator in the 0-term of the ${\cal V}$-filtration with respect to a free divisor. Using this theorem, we give a formula for the logarithmic de Rham complex in terms of ${\cal V}_0$-modules. We also give a sufficient condition for perversity of the logarithmic de Rham complex.

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Francisco Calderón-Moreno. 1998-07-09. Logarithmic differential operators and logarithmic de Rham complexes relative to a free divisor. https://arxiv.org/abs/math/9807047

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