11 citations · 16 across the 12 of their papers we have counts for
7 papers · 1 filter
Strongly Pseudoconvex Domains with Finite Dimensional -Bergman Spaces
Shreedhar Bhat, Soumya Ganguly, Achinta Kumar Nandi
We show that for every , , and positive integer , there exists a finite-volume pseudoconvex domain with real-analytic strongly pseudoconvex bou…
Rigidity of Extremal and cscK Bergman Metrics on Pseudoconvex Domains
Peter Ebenfelt, Soumya Ganguly
Let , , be a bounded connected pseudoconvex domain whose boundary contains a smooth strongly pseudoconvex point. We prove that if the Bergman metric of…
On the Classification of Stein spaces with Bergman-Einstein metrics
Soumya Ganguly, Siddhartha Sahi
For every , we prove that the Bergman metric on the regular locus of a finite ball quotient , where is finite and fixed-point-free,…
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 , there exists a…
Rotational symmetries of domains and orthogonality relations
Soumya Ganguly, John N. Treuer
Let be a domain whose Bergman space contains all holomorphic monomials. We derive sufficient conditions for to be Reinhardt, complete Reinhardt, circula…
Local algebraicity and localization of the Bergman kernel on Stein spaces with finite type boundaries
Peter Ebenfelt, Soumya Ganguly, Ming Xiao
On a two dimensional Stein space with isolated, normal singularities, smooth finite type boundary, and locally algebraic Bergman kernel, we establish an estimate on the type of the…
Bergman-Einstein metrics on two-dimensional Stein spaces
Soumya Ganguly, Shubham Sinha
We show that the Bergman metric of the ball quotients , where is a finite and fixed point free group, is Kähler-Einstein if and only if is trivial. As a con…