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Cohomology and extension problems for semi q-coronae

2005/03/23 by Alberto Saracco, Saracco, Alberto, Giuseppe Tomassini +1
Mathematics · #32D15 (Primary) #32F10 #32L10 (Secondary) #Complex Variables (math.CV) #FOS: Mathematics #math.CV #msc:32D15 #msc:32F10 #msc:32L10

paper · pdf · doi:10.48550/arxiv.math/0503490

13 pages; submitted to Mathematische Zeitschrift

arxiv created 2005/03/23 · arxiv updated 2009/12/01

Abstract

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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