A Remark on δ-cohomology with supports in the complement of a cone singularity

Title
A Remark on δ-cohomology with supports in the complement of a cone singularity
Publication Date
2007-08
Author(s)
Harris, Adam
( author )
OrcID: https://orcid.org/0000-0002-1259-1122
Email: aharris5@une.edu.au
UNE Id une-id:aharris5
Type of document
Conference Publication
Language
en
Entity Type
Publication
Publisher
Research Institute for Mathematical Sciences
Place of publication
Kyoto, Japan
Series
RIMS Research Meetings
UNE publication id
une:4738
Abstract
Let [this equation] be a ∂-closed form on ℂⁿ x ℂ. If it is assumed that ψ has compact (specifically non-empty) support, then ψn+1(w,z) ≠ 0, for if the last component vanishes identically then this, together with the closedness of ψ, implies that [this second equation] vanishes identically, 1 ≤ k ≤ n. Hence ψ is the pullback of a form defined on ℂⁿ, which contradicts the compactness of support.
Link
link
Citation
Proceedings of the second Japanese-Australian Workshop on Real and Complex Singularities, p. 32-37
Start page
32
End page
37

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