English

Logarithmic Comparison Theorems

Algebraic Geometry 2023-03-10 v1

Abstract

In this paper 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.

Keywords

Cite

@article{arxiv.2303.05417,
  title  = {Logarithmic Comparison Theorems},
  author = {Francisco-Jesús Castro-Jiménez and David Mond and Luis Narváez-Macarro},
  journal= {arXiv preprint arXiv:2303.05417},
  year   = {2023}
}

Comments

35 pages; to appear in Handbook of Geometry and Topology of Singularities IV