3 papers
math.CV2024
An infinite dimensional balanced embedding problem III: Asymptotics near infinity
Jingzhou Sun
We continue our study on the logarithmic balanced model metric initiated in our previous work. By a non-trivial refinement of the set of tools developed in our previous work, we ar…
math.CV2023
An infinite dimensional balanced embedding problem II: uniqueness
Jingzhou Sun
This is the sequel to our first paper concerning the balanced embedding of a non-compact complex manifold into an infinite-dimensional projective space. We prove the uniqueness of…
math.CV2023
An infinite dimensional balanced embedding problem I:existence
Jingzhou Sun, Song Sun
We investigate the problem of balanced embedding of a non-compact complex manifold into an infinite-dimensional projective space. In this paper we prove the existence of such an em…