A relative Oka-Grauert principle for holomorphic submersions over $1$-convex spaces
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Abstract:
This paper presents the proof of the relative Oka-Grauert principle for holomorphic submersions over $1$-convex spaces using conic neighbourhoods of holomorphic sections over $1$-convex spaces. A proof of a version of Cartan’s Theorem $A$ for $1$-convex spaces is also given.References
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Additional Information
- Jasna Prezelj
- Affiliation: Faculty of Mathematics and Physics, University of Ljubljana, Jadranska 19, SI-1000 Ljubljana, Slovenia
- Email: jasna.prezelj@fmf.uni-lj.si
- Received by editor(s): August 21, 2007
- Received by editor(s) in revised form: June 1, 2008
- Published electronically: March 23, 2010
- Additional Notes: The author was supported by research program P1 - 0291, Slovenia.
- © Copyright 2010
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: Trans. Amer. Math. Soc. 362 (2010), 4213-4228
- MSC (2010): Primary 32C15, 32C25, 32L05, 32L10, 32E05, 32E10, 32E30, 32C35
- DOI: https://doi.org/10.1090/S0002-9947-10-04871-3
- MathSciNet review: 2608403