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

By M. Mustaţă, Mihnea Cristian Popa. Forum of Mathematics, Pi, 2021

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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.

Subfields: Geometry and Topology, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/53f5380e9681a1ea455297fca716b2e3e71c73f0