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

Mircea Mustaţă, Mihnea Popa

Source record

Source: Crossref

Published: Jan 1, 2022

DOI: 10.1017/fmp.2022.15

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Source abstract

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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Hodge filtration on local cohomology, Du Bois complex and local cohomological dimension — Mathematical Frontier Network