Holomorphic flexibility properties of complex manifolds
By F. Forstnerič. 2004
55 citations recorded by the source corpus.
We obtain results on approximation of holomorphic maps by algebraic maps, the jet transversality theorem for holomorphic and algebraic maps between certain classes of manifolds, and the homotopy principle for holomorphic submersions of Stein manifolds to certain algebraic manifolds.
Subfields: Applied Mathematics, Geometry and Topology
View Paper: https://www.semanticscholar.org/paper/7e31d5f03ada2a23458f6ff658ab47588c6cd7fc
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In Applied Mathematics
- F. Lárusson
- F. Kutzschebauch
- S. Kaliman
- H. Flenner
- Mikhail Zaidenberg
- Ivan Arzhantsev
- F. Forstnerič
- E. F. Wold
In Geometry and Topology
- F. Kutzschebauch
- F. Lárusson
- S. Kaliman
- F. Forstnerič
- H. Flenner
- Mikhail Zaidenberg
- Ivan Arzhantsev
- E. F. Wold
Citations in the corpus
- Survey of Oka theory (2010, methodology): “The jet transversality theorem can be used to show that if S is a Stein manifold and X is an Oka manifold, then a generic holomorphic map S → X is an immersion when dimX ≥ 2 dimS, and an injective immersion when dimX ≥ 2 dimS + 1 ([15], Corollary 1.”
- Flexible varieties and automorphism groups (2010, background): “1In the analytic context, several other flexibility properties are surveyed in [10].”