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

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

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...

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Veröffentlicht in:Forum of mathematics. Pi 2022-01, Vol.10, Article e22
Hauptverfasser: Mustaţă, Mircea, Popa, Mihnea
Format: Artikel
Sprache:eng
Schlagworte:
14B05
14B15
14F10
14F17
32S35
Algebraic and Complex Geometry
Filtration
Homology
Sheaves
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Beschreibung
Zusammenfassung: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.
ISSN:2050-5086
2050-5086
DOI:10.1017/fmp.2022.15