COHOMOLOGY AND EXTENSION PROBLEMS FOR SEMI q-CORONAE
نویسندگان
چکیده
We prove some extension theorems for analytic objects, in particular sections of a coherent sheaf, defined in semi q-coronae of a complex space. Semi q-coronae are domains whose boundary is the union of a Levi flat part, a q-pseudoconvex part and a q-pseudoconcave part. Such results are obtained mainly using cohomological techniques.
منابع مشابه
Cohomology of Semi 1-coronae and Extension of Analytic Subsets
Contents 1. Introduction and notations 1 2. Remarks on the proofs of theorems in [12] 3 3. An isomorphism theorem for semi 1-coronae 5 3.1. Bump lemma: surjectivity of cohomology 6 3.2. Approximation 8 4. Extension of coherent sheaves and analytic subsets 13 References 15
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