15 citations · 27 across the 32 of their papers we have counts for
33 papers · 1 filter
A quasiconformal variant of the union problem
Diganta Borah, Prachi Mahajan, Kaushal Verma
The Union Problem, which has its genesis in the classical Levi problem, asks for a classification of complex manifolds that can be exhausted by an increasing union of submanifo…
Limits of an increasing sequence of complex manifolds
G. P. Balakumar, Diganta Borah, Prachi Mahajan +1
Let be a complex manifold which admits an exhaustion by open subsets each of which is biholomorphic to a fixed domain . The main question addressed…
On the automorphism group of certain Short 's
Sayani Bera, Ratna Pal, Kaushal Verma
For a Hénon map of the form , where is a polynomial of degree at least two and , it is known that the sub-level sets of the Green's functio…
Narasimhan--Simha type metrics on strongly pseudoconvex domains in
Diganta Borah, Kaushal Verma
For a bounded domain , let denote the Bergman kernel on the diagonal and consider the reproducing kernel Hilbert space of holomorphic fun…
Non-negative divisors and the Grauert metric
Sahil Gehlawat, Kaushal Verma
Grauert showed that it is possible to construct complete Kähler metrics on the complement of complex analytic sets in a domain of holomorphy. In this note, we study the holomorphic…
Two remarks on the Poincaré metric on a singular Riemann surface foliation
Sahil Gehlawat, Kaushal Verma
Let be a smooth Riemann surface foliation on , where is a complex manifold and is a closed set. Fix a hermitian metric on $M \set…