Logarithmic Comparison Theorems

Francisco J. Castro-Jiménez (), David Mond () and Luis Narváez-Macarro ()
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Francisco J. Castro-Jiménez: Universidad de Sevilla, Departamento de Álgebra & Instituto de Matemáticas (IMUS), Facultad de Matemáticas
David Mond: University of Warwick, Mathematics Institute
Luis Narváez-Macarro: Universidad de Sevilla, Departamento de Álgebra & Instituto de Matemáticas (IMUS), Facultad de Matemáticas

Chapter Chapter 12 in Handbook of Geometry and Topology of Singularities IV, 2023, pp 559-599 from Springer

Abstract: Abstract In this chapter we study the comparison between the logarithmic and the meromorphic de Rham complexes along a divisor in a complex manifold. We focus on the case of free divisors, starting with the case of locally quasihomogeneous divisors, and we explain how D-module theory can be used for this comparison.

Date: 2023
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DOI: 10.1007/978-3-031-31925-9_12

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