3 papers
math.CV2025
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…
math.CV2025
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…
cs.CG2024
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…