Dualité et comparaison sur les complexes de de Rham logarithmiques par rapport aux diviseurs libres

F. J. Calderon-Moreno; L. Narvaez-Macarro

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Dualité et comparaison sur les complexes de de Rham logarithmiques par rapport aux diviseurs libres

F. J. Calderon-Moreno·L. Narvaez-Macarro

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Abstract

Let X be a complex analytic manifold and D \subset X a free divisor. Integrable logarithmic connections along D can be seen as locally free {\cal O}_X-modules endowed with a (left) module structure over the ring of logarithmic differential operators {\cal D}_X(\log D). In this paper we study two related results: the relationship between the duals of any integrable logarithmic connection over the base rings {\cal D}_X and {\cal D}_X(\log D), and a differential criterion for the logarithmic comparison theorem. We also generalize a formula of Esnault-Viehweg in the normal crossing case for the Verdier dual of a logarithmic de Rham complex.

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BibTeX RIS

F. J. Calderon-Moreno, L. Narvaez-Macarro. 2005-05-18. Dualité et comparaison sur les complexes de de Rham logarithmiques par rapport aux diviseurs libres. https://arxiv.org/abs/math/0411045

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