The generalized Oka-Grauert principle for 1-convex manifolds

Details The generalized Oka-Grauert principle for 1-convex manifolds The generalized Oka-Grauert principle for 1-convex manifolds

2011-11-19

arxiv.org/abs/1111.4592v1

Michigan Math. Journal, Vol. 60, No. 3 (2011), pp. 495-506

Mathematics

Complex Variables

Scientific paper

This paper presents a proof of the generalized Oka-Grauert principle for
1-convex manifolds: Every continuous mapping from a 1-convex manifold X to a
complex manifold Y which is already holomorphic on a neighborhood of the
exceptional set is homotopic to a holomorphic one provided that either Y
satisfies CAP or we are free to change the complex structure on X.

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