Diganta Borah

activity

20122021

most citedLimits of an increasing sequence of complex manifolds

2 citations · 2 across the 2 of their papers we have counts for

collaborators

6 papers

math.CV2021★ 2 cited

Limits of an increasing sequence of complex manifolds

G. P. Balakumar, Diganta Borah, Prachi Mahajan +1

Let $M$ be a complex manifold which admits an exhaustion by open subsets $M_{j}$ each of which is biholomorphic to a fixed domain $Ω \subset C^{n}$ . The main question addressed…

math.CV2021

Narasimhan--Simha type metrics on strongly pseudoconvex domains in $C^{n}$

Diganta Borah, Kaushal Verma

For a bounded domain $D \subset C^{n}$ , let $K_{D} = K_{D} (z) > 0$ denote the Bergman kernel on the diagonal and consider the reproducing kernel Hilbert space of holomorphic fun…

math.CV2018

Further remarks on the higher dimensional Suita conjecture

G. P. Balakumar, Diganta Borah, Prachi Mahajan +1

For a domain $D \subset C^{n}$ , $n \geq 2$ , let $F_{D}^{k} (z) = K_{D} (z) λ (I_{D}^{k} (z))$ , where $K_{D} (z)$ is the Bergman kernel of $D$ along the diagonal and $λ (I_{D}^{k} (z))$ …

math.CV2018

Remarks on the higher dimensional Suita conjecture

G. P. Balakumar, Diganta Borah, Prachi Mahajan +1

To study the analog of Suita's conjecture for domains $D \subset C^{n}$ , $n \geq 2$ , Błocki introduced the invariant $F_{D}^{k} (z) = K_{D} (z) λ (I_{D}^{k} (z))$ , where $K_{D} (z)$ is t…

math.CV2016

Comments on the Green's function of a planar domain

Diganta Borah, Pranav Haridas, Kaushal Verma

We study several quantities associated to the Green's function of a multiply connected domain in the complex plane. Among them are some intrinsic properties such as geodesics, curv…

math.CV2012

Remarks on the metric induced by the Robin function II

Diganta Borah

Let $D$ be a smoothly bounded pseudoconvex domain in $C^{n}$ , $n > 1$ . Using the Robin function $\La(p)$ that arises from the Green function $G (z, p)$ for $D$ with pole at $p…

Limits of an increasing sequence of complex manifolds

Narasimhan--Simha type metrics on strongly pseudoconvex domains in Cn

Further remarks on the higher dimensional Suita conjecture

Remarks on the higher dimensional Suita conjecture

Comments on the Green's function of a planar domain

Remarks on the metric induced by the Robin function II

Narasimhan--Simha type metrics on strongly pseudoconvex domains in $C^{n}$