A ∂∂-Poincaré Lemma for forms near an isolated complex singularity

Author(s)
Harris, A
Tonegawa, Y
Publication Date
2003
Abstract
Let <i>X</i> be an analytic subvariety of complex Euclidean space with isolated singularity at the origin, and let <i>η</i> be a smooth form of type (1.1) defined on <i>X</i>\{0}. The main result of this note is a criterion for solubility of the equation <i>∂∂u = η</i>. This implies a criterion for triviality of a Hermitian– holomorphic line bundle <i>(L,h)</i> --> <i>X</i>\{0} in a neighbourhood of the origin.
Citation
Proceedings of the American Mathematical Society, 131(11), p. 3329-3334
ISSN
1088-6826
0002-9939
Link
https://hdl.handle.net/1959.11/942
Publisher
American Mathematical Society
Title
A ∂∂-Poincaré Lemma for forms near an isolated complex singularity
Type of document
Journal Article
Entity Type
Publication

Files:

NameSizeformatDescriptionLink