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

Mircea Mustaţă; Mihnea Popa

doi:10.1017/fmp.2022.15

Forum of Mathematics, Pi (Jan 2022)

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

Mircea Mustaţă,
Mihnea Popa

Affiliations

Mircea Mustaţă: ORCiD; Department of Mathematics, University of Michigan, 530 Church Street, Ann Arbor, MI 48109, USA
Mihnea Popa: ORCiD; Department of Mathematics, Harvard University, 1 Oxford Street, Cambridge, MA 02138, USA; E-mail:

DOI: https://doi.org/10.1017/fmp.2022.15
Journal volume & issue: Vol. 10

Abstract

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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.

Published in Forum of Mathematics, Pi

ISSN: 2050-5086 (Online)
Publisher: Cambridge University Press
Country of publisher: United Kingdom
LCC subjects: Science: Mathematics
Website: https://www.cambridge.org/core/journals/forum-of-mathematics-pi

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