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

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dc.creatorCalderon-Moreno, F. J.
dc.creatorNarvaez-Macarro, L.
dc.date2004-11-02
dc.date2005-05-18
dc.date.accessioned2026-07-07T05:13:53Z
dc.date.available2026-07-07T05:13:53Z
dc.descriptionLet 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.
dc.descriptionFinal version
dc.identifierhttps://arxiv.org/abs/math/0411045
dc.identifierhttp://arxiv.org/abs/math/0411045
dc.identifierAnnales de l'Institut Fourier 55, 1 (2005),47-75
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/73077
dc.subjectAlgebraic Geometry
dc.subject32C38, 32S20, 14F10
dc.titleDualité et comparaison sur les complexes de de Rham logarithmiques par rapport aux diviseurs libres
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