Surjective Holomorphic Maps onto Oka Manifolds

@article{Forstneri2017SurjectiveHM,
  title={Surjective Holomorphic Maps onto Oka Manifolds},
  author={Franc Forstneri{\vc}},
  journal={arXiv: Complex Variables},
  year={2017},
  pages={73-84}
}
  • Franc Forstnerič
  • Published 2017
  • Mathematics
  • arXiv: Complex Variables
  • Let X be a connected Oka manifold, and let S be a Stein manifold with dimS ≥ dimX. We show that every continuous map S → X is homotopic to a surjective strongly dominating holomorphic map S → X. We also find strongly dominating algebraic morphisms from the affine n-space onto any compact n-dimensional algebraically subelliptic manifold. Motivated by these results, we propose a new holomorphic flexibility property of complex manifolds, the basic Oka property with surjectivity, which could… CONTINUE READING

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