4 citations · 8 across the 13 of their papers we have counts for
15 papers
A new class of smooth algebraic varieties with the density property and a counterexample to the Tóth-Varolin Conjecture
Sushil Gorai
We prove that the smooth affine hypersurfaces \[ X_{m,n}=\{ζ^mz_0^n+ (1+z_1ζ)z_2+ζz_3^2=1\}\subset\mathbb{C}^5,\;\; m,n\geq 2, \] have the density property. For every odd integer $…
Runge embeddings, approximation of biholomorphisms on Stein manifolds, and the Loewner PDE
Sushil Gorai, Gourab Paul
We develop an extension-by-approximation principle for holomorphic Runge embeddings of increasing union of Stein manifolds into Stein manifolds with density property. The basic hyp…
Carleman Approximation for certain sets with an isolated singularity
Harshith Alagandala, Sushil Gorai
In this paper, we prove that local polynomial convexity at the origin for the union of finitely many transverse totally real subspaces of maximal dimension is sufficient for Carlem…
Flow invariant Runge domains and global linearization of holomorphic vector fields
Sanjoy Chatterjee, Sushil Gorai
In this paper, we study two problems concerning holomorphic flows on . First, we prove Runge-type results for positive-time flow invariant domains. For a linear flow $…
Uniform approximation on certain polynomial polyhedra in
Sushil Gorai, Golam Mostafa Mondal
In this paper we extend the dichotomy given by Samuelsson and Wold that can be thought of as an analogue of the Wermer maximality theorem in for certain polynomial p…
A study of spirallike domains: polynomial convexity, Loewner chains and dense holomorphic curves
Sanjoy Chatterjee, Sushil Gorai
In this paper, we prove that the closure of a bounded pseudoconvex domain, which is spirallike with respect to a globally asymptotic stable holomorphic vector field, is polynomiall…
Approximations on certain domains of
Sanjoy Chatterjee, Sushil Gorai
In this paper, we study the domains in that are invariant under the positive flows of some globally defined, complete holomorphic vector field with a globally attrac…
Some observations concerning polynomial convexity
Sushil Gorai
In this paper we discuss a couple of observations related to polynomial convexity. More precisely, (i) We observe that the union of finitely many disjoint closed balls with centres…
Certain real surfaces in with isolated singularities
Sushil Gorai
Under certain geometric condition, the surfaces in with isolated CR singularity at the origin and with cubic lowest degree homogeneous term in its graph near the ori…
Contractively embedded invariant subspaces
Sushil Gorai, Jaydeb Sarkar
This paper focuses on representations of contractively embedded invariant subspaces in several variables. We present a version of the de Branges theorem for -tuples of multiplic…
On polynomial convexity of compact subsets of totally-real submanifold in
Sushil Gorai
Let be a compact subset of a totally-real manifold , where is either a -smooth graph in over , or for a $\…
Characterizations of Symmetrized Polydisc
Sushil Gorai, Jaydeb Sarkar
Let , , denote the symmetrized polydisc in , and be the closed unit disc in . We provide some characterizations of elements in .…
On Quotient modules of : Essential Normality and Boundary Representations
B. Krishna Das, Sushil Gorai, Jaydeb Sarkar
Let be the open unit polydisc in , , and let be the Hardy space over . For , we show that if $θ\in…
On the polynomial convexity of the union of more than two totally-real planes in C^2
Sushil Gorai
In this paper we shall discuss local polynomial convexity at the origin of the union of finitely many totally-real planes through . The planes, say $P_0,..., P_N…
Local polynomial convexity of the union of two totally real surfaces at their intersection
Sushil Gorai
We consider the following question: Let and be two smooth, totally-real surfaces in that contain the origin. If the union of their tangent planes is loca…