4 citations · 8 across the 13 of their papers we have counts for
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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 $…