3 papers
math.CV2026
Bergman Kernel Asymptotics for Semipositive Line Bundles near Curvature-Degenerate Points
Yueh-Lin Chiang
We study the asymptotic behavior of Bergman kernels for high tensor powers of semipositive line bundles over Hermitian manifolds. At points where the curvature degenerates, the cla…
math.CV2024
Spectral Kernels and Holomorphic Morse Inequalities for Sequence of Line Bundles
Yueh-Lin Chiang
Given a sequence of Hermitian holomorphic line bundles over a complex manifold which may not be compact, we generalize the scaling method in arXiv:2310.08048 to stu…
math.CV2023
Semi-Classical Asymptotics of Bergman and Spectral Kernels for (0,q)-forms
Yueh-Lin Chiang
In this paper, we develop a new scaling method to study spectral and Bergman kernels for the k-th tensor power of a line bundle over a complex manifold under local spectral gap con…