# Totally real embeddings with prescribed polynomial hulls

@article{Arosio2019TotallyRE, title={Totally real embeddings with prescribed polynomial hulls}, author={Leandro Arosio and Erlend Fornaess Wold}, journal={Indiana University Mathematics Journal}, year={2019} }

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.

## 8 Citations

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