A ¯∂∂–poincar lemma for forms near an isolated complex singularity


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Please use this identifier to cite or link to this item:https://doi.org/10.14943/83708

Title:	A ¯∂∂–poincar lemma for forms near an isolated complex singularity
Authors:	Harris, A. Browse this author
Authors:	Tonegawa, Y. Browse this author
Issue Date:	Oct-2002
Publisher:	Department of Mathematics, Hokkaido University
Journal Title:	Hokkaido University Preprint Series in Mathematics
Volume:	563
Start Page:	1
End Page:	8
Abstract:	Let X be an analytic subvariety of complex Euclidean space with isolated singularity at the origin, and let r7 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 Dau r7. This implies a criterion for triviality of a Hermitian holomorphic line bundle (L, h) ----+ X \ {O} in a neighbourhood of the origin.
Type:	bulletin (article)
URI:	http://hdl.handle.net/2115/69312
Appears in Collections:	理学院・理学研究院 (Graduate School of Science / Faculty of Science) > Hokkaido University Preprint Series in Mathematics

Submitter: 数学紀要登録作業用

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