Cohomology and extension problems for semi q-coronae

Mathematics – Complex Variables

Scientific paper

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13 pages; submitted to Mathematische Zeitschrift

Scientific paper

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.

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