G. Balakumar

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20112021

most citedLimits of an increasing sequence of complex manifolds

2 citations · 5 across the 5 of their papers we have counts for

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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

Structure theorems for Power Series in Several Complex Variables

G. P. Balakumar

It is a classical fact that domains of convergence of power series of several complex variables are characterized as logarithmically convex complete Reinhardt domains; let $D \subs…

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.CV2015

Analyzing the Wu metric on a class of eggs in $C^{n}$ -- II

G. P. Balakumar, Prachi Mahajan

We study the Wu metric for the non-convex domains of the form \[ E_{2m} = \big\{ z \in \mathbb{C}^n : \vert z_1 \vert^{2m} + \vert z_2 \vert^2 + \ldots + \vert z_{n-1} \vert^2 + \v…

math.CV2015★ 1 cited

Analyzing the Wu metric on a class of eggs in $C^{n}$ -- I

G. P. Balakumar, Prachi Mahajan

We study the Wu metric on convex egg domains of the form \[ E_{2m} = \big\{ z \in \mathbb{C}^n : \vert z_1 \vert^{2m} + \vert z_2 \vert^2 + \ldots + \vert z_{n-1} \vert^2 + \vert z…

Limits of an increasing sequence of complex manifolds

Structure theorems for Power Series in Several Complex Variables

Further remarks on the higher dimensional Suita conjecture

Remarks on the higher dimensional Suita conjecture

Analyzing the Wu metric on a class of eggs in Cn -- II

Analyzing the Wu metric on a class of eggs in Cn -- I

Analyzing the Wu metric on a class of eggs in $C^{n}$ -- II

Analyzing the Wu metric on a class of eggs in $C^{n}$ -- I