Spherical shells as obstructions for the extension of holomorphic mappings |
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Authors: | S M Ivashkovitch |
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Institution: | 1. Steklov Institute, ul. Vavilova 42, 117966, Moscow, USSR
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Abstract: | In this paper we study the extension properties of holomorphic and meromorphic maps into complex manifolds that carry a pluriclosed Hermitian metric. For example, any compact, complex surface admits such a metric. We prove that the only obstructions for the Hartogs-type extendability of holomorphic maps are spherical shells and rational curves. |
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