On complete intersections
Copyright policy )On complete intersections
We construct closed complex submanifolds of dimension three in C^5 which are differential complete intersections but not holomorphic complete intersections. We also prove a homotopy principle concerning the removal of intersections of holomorphic mappings from Stein manifolds to complex Euclidean spaces C^d with certain closed complex subvarities of C^d.
13 pages, to be published in Annales Institut Fourier (2001)
32C25; 32Q28; 32Q55; 57R40, Mathematics - Complex Variables, Analytic subsets and submanifolds, 32C25, Embeddings in differential topology, 57R40, Stein manifold, proper holomorphic embeddings, Oka-Grauert homotopy principle, FOS: Mathematics, Complete intersections, 32Q28, Complex Variables (math.CV), Topological aspects of complex manifolds, 32Q55, complete intersection, Embedding of analytic spaces
32C25; 32Q28; 32Q55; 57R40, Mathematics - Complex Variables, Analytic subsets and submanifolds, 32C25, Embeddings in differential topology, 57R40, Stein manifold, proper holomorphic embeddings, Oka-Grauert homotopy principle, FOS: Mathematics, Complete intersections, 32Q28, Complex Variables (math.CV), Topological aspects of complex manifolds, 32Q55, complete intersection, Embedding of analytic spaces
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