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math.CV2022★ 2 cited
On Bergman kernel functions and weak Morse inequalities
Xiaoshan Li, Guokuan Shao, Huan Wang
We give simple and unified proofs of weak holomorhpic Morse inequalities on complete manifolds, -convex manifolds, pseudoconvex domains, weakly -complete manifolds and coveri…
math.CV2022
Semi-classical asymptotics of partial Bergman kernels on -symmetric complex manifolds with boundary
Chin-Yu Hsiao, Xiaoshan Li, George Marinescu
Let be a relatively compact connected open subset with smooth connected boundary of a complex manifold . Let be a positive line bundle over . Su…