3 papers
math.CV2026
Certain real surfaces in with degenerated CR singularities
Sushil Gorai, Suman Karak, Golam Mostafa Mondal
In this paper, we study the local polynomial convexity of certain smooth real surfaces in \(\mathbb{C}^2\) with isolated CR singularity at the origin with higher-order of degenerac…
math.CV2023
Uniform algebras and distinguished varieties
Sushil Gorai, Golam Mostafa Mondal
In this article, we point out the connections between the distinguished varieties introduced by Agler and McCarthy with certain uniform algebras on bidisc studied by Samuelsson and…
math.CV2023
Polynomial convexity of compacts that lies in certain Levi-flat hypersurfaces in
Sushil Gorai, Golam Mostafa Mondal
In this paper, we first prove that the totally real discs lying in certain Levi flat hypersurfaces are polynomially convex. As applications we prove that the totally real discs lyi…