Please use this identifier to cite or link to this item: https://hdl.handle.net/1959.11/4626
Title: A Remark on δ-cohomology with supports in the complement of a cone singularity
Contributor(s): Harris, Adam  (author)orcid 
Publication Date: 2007
Handle Link: https://hdl.handle.net/1959.11/4626
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.
Publication Type: Conference Publication
Conference Name: JARCS2: The second Japanese-Australian Workshop on Real and Complex Singularities, Kyoto, Japan, 26th Novemeber - 29th November 2007
Conference Details: JARCS2: The second Japanese-Australian Workshop on Real and Complex Singularities, Kyoto, Japan, 26th Novemeber - 29th November 2007
Source of Publication: Proceedings of the second Japanese-Australian Workshop on Real and Complex Singularities, p. 32-37
Publisher: Research Institute for Mathematical Sciences
Place of Publication: Kyoto, Japan
ISSN: 1880-2818
Field of Research (FOR): 010111 Real and Complex Functions (incl Several Variables)
Peer Reviewed: Yes
HERDC Category Description: C1 Refereed Article in a Scholarly Journal
Other Links: http://www.rimath.saitama-u.ac.jp/lab.jp/Fukui/2007/JARCS2.html
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