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A ∂∂-Poincaré Lemma for forms near an isolated complex singularity |
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American Mathematical Society |
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10.1090/S0002-9939-03-06875-8 |
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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. |
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Proceedings of the American Mathematical Society, 131(11), p. 3329-3334 |
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