• Corpus ID: 54060902

# HULLS OF DEFORMATIONS IN C

@inproceedings{2010HULLSOD,
title={HULLS OF DEFORMATIONS IN C},
author={},
year={2010}
}
• Published 2010
• Mathematics
A problem of E. Bishop on the polynomially convex hulls of deformations of the torus is considered. Let the torus T2 be the distinguished boundary of the unit polydisc in C2. If t1-» T2 is a smooth deformation of T2 in C2 and g0 is an analytic disc in C2 with boundary in T2, a smooth family of analytic discs t h» g, is constructed with the property that the boundary of g, lies in T2. This construction has implications for the polynomially convex hulls of the tori T2. An analogous problem for a…
1 Citations
Stability of the hull(s) of an $n$-sphere in $\mathbb{C}^n$
• Mathematics
• 2020
We study the (global) Bishop problem for small perturbations of $\mathbf{S}^n$ --- the unit sphere of $\mathbb{C}\times\mathbb{R}^{n-1}$ --- in $\mathbb{C}^n$. We show that if $S\subset\mathbb{C}^n$

## References

SHOWING 1-5 OF 5 REFERENCES
Cohomology of maximal ideal spaces
Proof. If xi, • • • , xn generate A} then the map of M into O given by h—*(h(xi), • • • , h(xn)) is a homeomorphism of M onto a compact set X. It is known (see, e.g., [l]) that K is polynomially
Uniform approximation on compact sets in C
• Math. Scand
• 1968
Function theory on differentiable manifolds, Contributions to Analysis
• 1974