Totally real embeddings with prescribed polynomial hulls

@article{Arosio2017TotallyRE,
title={Totally real embeddings with prescribed polynomial hulls},
author={L. Arosio and E. F. Wold},
journal={arXiv: Complex Variables},
year={2017}
}

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.