Purvi Gupta

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math.CV2025

A complex-analytic characterization of Lagrangian immersions in $C^{n}$ with transverse double points

Purvi Gupta, Rudranil Sahu

Given a compact smooth totally real immersed $n$ -submanifold $M \subset C^{n}$ with only finitely many transverse double points, it is known that if $M$ 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 $M$ of dimension $m$ admits a smooth polynomially convex embedding into $C^{n}$ when $n \geq ⌊ 5 m /4 ⌋$ . Further, such…

math.CV2024

Hypersurface Convexity and Extension of KÃ¤hler Forms

Blake J. Boudreaux, Purvi Gupta, Rasul Shafikov

The following generalization of a result of S. Nemirovski is proved: if $X$ is either a projective or a Stein manifold and $K \subset X$ is a compact sublevel set of a strictly plur…

A complex-analytic characterization of Lagrangian immersions in Cn with transverse double points

Polynomially convex embeddings and CR singularities of real manifolds

Hypersurface Convexity and Extension of KÃ¤hler Forms

A complex-analytic characterization of Lagrangian immersions in $C^{n}$ with transverse double points