2021
DOI: 10.48550/arxiv.2108.05192
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Hodge filtration on local cohomology, Du Bois complex, and local cohomological dimension

Abstract: We study the Hodge filtration on the local cohomology sheaves of a smooth complex algebraic variety along a closed subscheme Z in terms of log resolutions, and derive applications regarding the local cohomological dimension, the Du Bois complex, local vanishing, and reflexive differentials associated to Z.

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