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|Title:||A Remark on δ-cohomology with supports in the complement of a cone singularity||Contributor(s):||Harris, Adam (author)||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||Statistics to Oct 2018:||Visitors: 187
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