4 papers · 1 filter
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…
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 as the automorphism group. By the Hartogs phenomenon and a result of ForstneriÄ…
On the dimension of the -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…
Proper maps of ball complements & differences and rational sphere maps
Abdullah Al Helal, JiÅÃ 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…