On complete intersections

Details On complete intersections On complete intersections

2001-01-04

arxiv.org/abs/math/0101033v1

Ann. Inst. Fourier, 51, 2 (2001), 479-512

Mathematics

Complex Variables

13 pages, to be published in Annales Institut Fourier (2001)

Scientific paper

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.

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