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arXiv · 2108.05192

Hodge filtration on local cohomology, Du Bois complex, and local cohomological dimension

Mircea Mustata·Mihnea Popa
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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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Mircea Mustata, Mihnea Popa. 2021-08-11. Hodge filtration on local cohomology, Du Bois complex, and local cohomological dimension. https://arxiv.org/abs/2108.05192

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