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Logarithmic comparison theorem and D-modules: an overview

代数几何 2007-05-23 v1

摘要

Let D be a divisor in a complex analytic manifold X. A natural problem is to determine when the de Rham complex of meromorphic forms on X with poles along D is quasi-isomorphic to its subcomplex of logarithmic forms. In this mostly expository note, we recall the main results about this problem. In particular, we point out the relevance of the theory of D-modules to this topic.

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引用

@article{arxiv.math/0510430,
  title  = {Logarithmic comparison theorem and D-modules: an overview},
  author = {Tristan Torrelli},
  journal= {arXiv preprint arXiv:math/0510430},
  year   = {2007}
}

备注

15 pages, 1 figure. Submitted to the proceedings of the 5 singular weeks in Luminy (CIRM), february 2005