Totally real embeddings with prescribed polynomial hulls

  title={Totally real embeddings with prescribed polynomial hulls},
  author={L. Arosio and E. F. Wold},
  journal={arXiv: Complex Variables},
  • L. Arosio, E. F. Wold
  • Published 2017
  • Mathematics
  • arXiv: Complex Variables
  • 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. 
    5 Citations
    Polynomially Convex Embeddings of Even-Dimensional Compact Manifolds.
    • 1
    • Highly Influenced
    • PDF
    Polynomially convex embeddings of odd-dimensional closed manifolds
    • PDF
    Polynomial Hulls of Arcs and Curves
    • PDF
    Achievements and evaluation
    • 2018
    • PDF


    Hulls of Surfaces
    • 8
    • PDF
    Polynomial convexity and totally real manifolds
    • 16
    Hulls of subsets of the torus in C2
    • 6
    • Highly Influential
    • PDF
    Differential Topology, Birkhäuser Basel
    • 2015
    Polynomial convexity, Progress
    • L. Arosio: Dipartimento Di Matematica, Università di Roma “Tor Vergata”, Via Della Ricerca Scientifica
    • 2007