Dyuti Roy

collaborators

2 papers

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.NT2023

Estimates of Picard modular cusp forms

Anilatmaja Aryasomayajula, Bakar Balasubramanyam, Dyuti Roy

In this article, for $n \geq 2$ , we compute asymptotic, qualitative, and quantitative estimates of the Bergman kernel of Picard modular cusp forms associated to torsion-free, cocomp…