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https://hdl.handle.net/1959.11/942| Title: | A ∂∂-Poincaré Lemma for forms near an isolated complex singularity | Contributor(s): | Harris, A (author) ; Tonegawa, Y (author) |
Publication Date: | 2003 | Open Access: | Yes | DOI: | 10.1090/S0002-9939-03-06875-8 | Handle Link: | https://hdl.handle.net/1959.11/942 | Abstract: | Let X be an analytic subvariety of complex Euclidean space with isolated singularity at the origin, and let η be a smooth form of type (1.1) defined on X\{0}. The main result of this note is a criterion for solubility of the equation ∂∂u = η. This implies a criterion for triviality of a Hermitian– holomorphic line bundle (L,h) --> X\{0} in a neighbourhood of the origin. | Publication Type: | Journal Article | Source of Publication: | Proceedings of the American Mathematical Society, 131(11), p. 3329-3334 | Publisher: | American Mathematical Society | Place of Publication: | United States of America | ISSN: | 1088-6826 0002-9939 |
Fields of Research (FoR) 2008: | 010111 Real and Complex Functions (incl Several Variables) | Peer Reviewed: | Yes | HERDC Category Description: | C1 Refereed Article in a Scholarly Journal |
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| Appears in Collections: | Journal Article School of Science and Technology |
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| File | Description | Size | Format | |
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| open/SOURCE01.pdf | Author final version | 521.23 kB | Adobe PDF Download Adobe | View/Open |
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