Criteria for the injectivity of analytic sheaves |
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Authors: | V. D. Golovin |
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Affiliation: | 1. Khar'kov State University, USSR
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Abstract: | It is shown that a moduleL over the sheafO of germs of holomorphic functions on a domain G of Cn is injective if and only if the following conditions are satisfied; a)L is flabby; b) for every closed set S ?G and every point z λ G, the stalk se z of the sheafS L;U1→Γ S (U:L) is an injectiveO z -module. It follows in particular that the sheaf of germs of hyperfunctions is injective over the sheaf of germs of analytic functions. |
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