Achinta Kumar Nandi

activity

20232026

collaborators

6 papers

math.CV2026

Abundance of Bergman metrics with constant positive holomorphic sectional curvature

Shreedhar Bhat, Soumya Ganguly, Achinta Kumar Nandi +1

An outstanding open question, which has attracted renewed attention following the pioneering work of Huang--Li--Treuer, is whether, for a given positive integer $m$ , there exists a…

math.CV2025

Proper maps of annuli

Abdullah Al Helal, Jiri Lebl, Achinta Kumar Nandi

We study proper holomorphic maps of annuli in complex Euclidean spaces, that is, domains with $U (n)$ as the automorphism group. By the Hartogs phenomenon and a result of Forstnerič…

math.CV2025

On the dimension of the $p$ -Bergman spaces

Shreedhar Bhat, Achinta Kumar Nandi

The investigation of the dimension of Bergman spaces has long been a central topic in several complex variables, uncovering profound connections with potential theory and function…

math.DG2025

Asymptotic behavior of geodesics in conformally compact manifolds

Sean N. Curry, Achinta Kumar Nandi

We study the asymptotic behavior of geodesics near the boundary of a conformally compact Riemannian manifold $(X, g)$ . In the case where the sectional curvature at infinity is const…

math.CV2024

Proper maps of ball complements & differences and rational sphere maps

Abdullah Al Helal, Jiří Lebl, Achinta Kumar Nandi

We consider proper holomorphic maps of ball complements and differences in complex euclidean spaces of dimension at least two. Such maps are always rational, which naturally leads…

math.CV2023

On perturbations of singular complex analytic curves