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

1998/07/09 by Francisco Calderón-Moreno, Calderón-Moreno, Francisco · 1 citation
Mathematics · #14F40 #32C38 #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Algebraic structures and combinatorial models #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology

paper · pdf · doi:10.48550/arxiv.math/9807047

openalex publication_date 1998/07/09 · openalex created_date 2022/10/01 · openalex updated_date 2026/07/28

Abstract

We prove a structure theorem for the differential operator in the 0-term of\nthe cal V-filtration with respect to a free divisor. Using this theorem,\nwe give a formula for the logarithmic de Rham complex in terms of cal\nV₀-modules. We also give a sufficient condition for perversity of the\nlogarithmic de Rham complex.\n

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• Lie algebroids, quantum Poisson algebroids, and Lie algebroid connections

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