Prachi Mahajan

activity

20092025

most citedLimits of an increasing sequence of complex manifolds

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

collaborators

Showing math.CVShow all

10 papers · 1 filter

math.CV2025

A Hermitian metric on hyperbolic complex manifolds

Debraj Chakrabarti, Prachi Mahajan

We describe a method of defining a Hermitian metric on Kobayashi hyperbolic manifolds. The metric is distance decreasing under holomorphic mappings, up to a multiplicative constant…

math.CV2024

Limits of an increasing sequence of Riemann surfaces

Diganta Borah, Prachi Mahajan, Jiju Mammen

Let $M$ be a Riemann surface which admits an exhaustion by open subsets $M_{j}$ each of which is biholomorphic to a fixed domain $Ω \subset C$ . We describe $M$ in terms of $Ω…

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.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.CV2018

A comparison of two biholomorphic invariants

Prachi Mahajan, Kaushal Verma

The Fridman invariant, which is a biholomorphic invariant on Kobayashi hyperbolic manifolds, can be seen as the dual of the much studied squeezing function. We compare this pair of…