Linearity conditions on the Jacobian ideal and logarithmic--meromorphic comparison for free divisors

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In this paper we survey the role of D-module theory in the comparison between logarithmic and meromorphic de Rham complexes of integrable logarithmic connections with respect to free divisors, and we present some new linearity conditions on the Jacobian ideal which arise in this setting.
To appear in Proceedings of the School and Workshop on the Geometry and Topology of Singularities, Lê Fest

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