4 papers
A complex-analytic characterization of Lagrangian immersions in with transverse double points
Purvi Gupta, Rudranil Sahu
Given a compact smooth totally real immersed -submanifold with only finitely many transverse double points, it is known that if is Lagrangian with resp…
Polynomially convex embeddings and CR singularities of real manifolds
Purvi Gupta, Rasul Shafikov
It is proved that any smooth manifold of dimension admits a smooth polynomially convex embedding into when . Further, such…
A (Hilbert) geometric algorithm for approximating the halfspace depth of a point in a convex body
Purvi Gupta, Anant Narayanan
Halfspace (or Tukey) depth is a fundamental and robust measure of centrality of data points in multivariate datasets. Computing the depth of a point with respect to the uniform dis…
Hypersurface Convexity and Extension of Kähler Forms
Blake J. Boudreaux, Purvi Gupta, Rasul Shafikov
The following generalization of a result of S. Nemirovski is proved: if is either a projective or a Stein manifold and is a compact sublevel set of a strictly plur…