Anilatmaja Aryasomayajula

activity

20132026

most citedOn the Kaehler metrics over ${mathrm{Sym}^{d}(X)$

5 citations · 11 across the 21 of their papers we have counts for

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8 papers · 1 filter

math.CV2025

Off-diagonal estimates of the Bergman kernel associated to Siegel varieties

Anilatmaja Aryasomayajula, Harinarayanan G

For $g \geq 2$ , let $Γ \subset Sp (2 g, R)$ be a discrete subgroup, which is either a cocompact subgroup or an arithmetic subgroup without torsion elements, and let $\m…

math.CV2024

Estimates and asymptotics of Teichmüller modular forms

Anilatmaja Aryasomayajula, Debasish Sadhukhan

In this article, we derive estimates of Teichmüller modular forms, and associated invariants. Let $M_{g}$ denote the moduli space of compact hyperbolic Riemann surfaces o…

math.CV2024

Estimates of automorphic forms on $SU (n, 1)$

Anilatmaja Aryasomayajula, Baskar Balasubramanyam

For $n \geq 2$ , let $Γ \subset SU ((n, 1), O_{K})$ be a torsion-free, finite-index subgroup, where $O_{K}$ denotes the ring of integers of a totally imaginary…

math.CV2023

Estimates of Bergman Kernels and Bergman metric on compact Picard surfaces

Anilatmaja Aryasomayajula, Dyuti Roy, Debasish Sadhukhan

Let $Γ \subset SU ((2, 1), C)$ be a torsion-free cocompact subgroup. Let $B^{2}$ denote the $2$ -dimensional complex ball endowed with the hyperbolic metric $…

math.CV2023★ 1 cited

Estimates of Kähler metrics on noncompact finite volume hyperbolic Riemann surfaces, and their symmetric products

Anilatmaja Aryasomayajula, Arijit Mukherjee

Let $X$ denote a noncompact finite volume hyperbolic Riemann surface of genus $g \geq 2$ , with only one puncture at $i \infty$ (identifying $X$ with its universal cover $H$ )…

math.CV2019

Bergman kernel on Riemann surfaces and Kaehler metric on symmetric products

Anilatmaja Aryasomayajula, Indranil Biswas

Let $X$ be a compact hyperbolic Riemann surface equipped with the Poincaré metric. For any integer $k \geq 2$ , we investigate the Bergman kernel associated to the holomorphic Hermit…

math.CV2018

Estimates of the Bergman kernel on a hyperbolic Riemann surface of finite volume-II

Anilatmaja Aryasomayajula, Priyanka Majumder

In this article, we derive off-diagonal estimates of the Bergman kernel associated to the tensor-powers of the cotangent bundle defined on a hyperbolic Riemann surface of finite vo…

math.CV2017

Off-diagonal estimates of the Bergman kernel on hyperbolic Riemann surfaces of finite volume