Purvi Gupta

activity

20162022

collaborators

6 papers

math.PR2022

Volume Approximation of Strongly $C$ -Convex Domains by Random Polyhedra

Siva Athreya, Purvi Gupta, D. Yogeshwaran

Polyhedral-type approximations of convex-like domains in $C^{d}$ have been considered recently by the second author. In particular, the decay rate of the error in optimal vo…

math.CV2022

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…

math.CV2020

Polynomially convex embeddings of odd-dimensional closed manifolds

Purvi Gupta, Rasul Shafikov

It is shown that any smooth closed orientable manifold of dimension $2 k + 1$ , $k \geq 2$ , admits a smooth polynomially convex embedding into $C^{3 k}$ . This improves by $1$ …

math.CV2020

Stability of the hull(s) of an $n$ -sphere in $C^{n}$

Purvi Gupta, Chloe Urbanski Wawrzyniak

We study the (global) Bishop problem for small perturbations of $S^{n}$ --- the unit sphere of $C \times R^{n - 1}$ --- in $C^{n}$ . We show that if $S\s…

math.CV2018

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 $C^{2}$ is established. We use this to compute the rational hull of Rudin's Klein bottle…

math.CV2016

Convex Floating Bodies as Approximations of Bergman Sublevel Sets on Tube Domains