Filtrations on the log de Rham complex (Q2471355)

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Filtrations on the log de Rham complex
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    Filtrations on the log de Rham complex (English)
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    22 February 2008
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    Let \(X\) be a log smooth log scheme over the complex numbers. The author analyzes and compares different filtrations on the log de Rham complex \(\omega_X^*\) associated to \(X\): the decreasing Ogus filtration and the increasing Ishida filtration. The relations to the corresponding Danilov de Rham complex with logarithmic poles are also considered.
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    log schemes
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    de Rham complex
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    filtrations
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