Totally real embeddings with prescribed polynomial hulls

  title={Totally real embeddings with prescribed polynomial hulls},
  author={Leandro Arosio and Erlend Fornaess Wold},
  journal={Indiana University Mathematics Journal},
We embed compact $C^\infty$ manifolds into $\mathbb C^n$ as totally real manifolds with prescribed polynomial hulls. As a consequence we show that any compact $C^\infty$ manifold of dimension $d$ admits a totally real embedding into $\mathbb C^{\lfloor \frac{3d}{2}\rfloor}$ with non-trivial polynomial hull without complex structure. 

Polynomially convex embeddings of even-dimensional compact manifolds

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odd-dimensional closed

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  • 2022
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  • Mathematics
  • 2018
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No topological condition implies equality of polynomial and rational hulls

  • Alexander J. Izzo
  • Computer Science
    Proceedings of the American Mathematical Society
  • 2019
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Polynomial convexity and totally real manifolds

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Norway E-mail address: erlendfw@math.uio

    Differential Topology, Graduate Texts

    • in Mathematics
    • 1976