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arXiv · 1111.4592

The generalized Oka-Grauert principle for 1-convex manifolds

Jasna Prezelj·Marko Slapar
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Abstract

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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Jasna Prezelj, Marko Slapar. 2011-11-19. The generalized Oka-Grauert principle for 1-convex manifolds. https://arxiv.org/abs/1111.4592

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