5 papers · 1 filter
Constructing Group-Invariant CR Mappings
Jennifer Brooks, Sean Curry, Dusty Grundmeier +4
We construct CR mappings between spheres that are invariant under actions of finite unitary groups. In particular, we combine a tensoring procedure with D'Angelo's construction of…
Polynomially convex embeddings of odd-dimensional closed manifolds
Purvi Gupta, Rasul Shafikov
It is shown that any smooth closed orientable manifold of dimension , , admits a smooth polynomially convex embedding into . This improves by …
Stability of the hull(s) of an -sphere in
Purvi Gupta, Chloe Urbanski Wawrzyniak
We study the (global) Bishop problem for small perturbations of --- the unit sphere of --- in . We show that if $S\s…
The Rational Hull of Rudin's Klein Bottle
John T. Anderson, Purvi Gupta, Edgar L. Stout
In this note, a general result for determining the rational hulls of fibered sets in is established. We use this to compute the rational hull of Rudin's Klein bottle…
Convex Floating Bodies as Approximations of Bergman Sublevel Sets on Tube Domains
Purvi Gupta
For a pseudoconvex tube domain, we prove estimates that relate the sublevel sets of its diagonal Bergman kernel to the floating bodies of its convex base. This allows us to associa…