Mathematics – Complex Variables
Scientific paper
2001-01-29
Mathematics
Complex Variables
Proc. of the Hayama Symposium on Several Complex Variables (Hayama 2000), pp. 49--59, Japan, 2001
Scientific paper
The paper is related to the author's talk at the Hayama Symposium in Complex Analysis in December 2000. In section 1 we survey results on the Oka principle for sections of holomorphic submersions over Stein manifolds. In section 2 we apply these results to the lifting problem for holomorphic mappings from Stein manifolds, and in section 3 we apply them to the problem of removability of intersections of holomorphic maps from Stein manifolds with closed complex subvarieties of the target space.
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