3 papers
math.CV2026
Semi-classical heat kernel asymptotics on complex manifolds with boundary
Chin-Yu Hsiao, George Marinescu, Weixia Zhu
Let be a relatively compact open subset of a complex manifold with smooth boundary and let be a holomorphic line bundle over . Assuming that condition h…
math.DG2026
Berezin-Toeplitz Quantization of non-compact manifolds
Louis Ioos, Wen Lu, Xiaonan Ma +1
We develop Berezin-Toeplitz quantization in a non-compact complex geometric setting. Let be a Hermitian manifold, a positive holomorphic line bundle, and $(E,h^E…
math.DG2026
Bergman kernels and Poincaré series
Louis Ioos, Wen Lu, Xiaonan Ma +1
We show that the Bergman kernel of a finite-volume quotient of a Hermitian manifold with bounded geometry by a discrete group of its isometries is the same as…