Chin-Yu Hsiao

activity

20082026

most citedAsymptotics of spectral function of lower energy forms and Bergman kernel of semi-positive and big line bundles

72 citations · 201 across the 51 of their papers we have counts for

collaborators

Showing 2017Show all

5 papers · 1 filter

math.CV2017★ 7 cited

$S^{1}$ -equivariant Index theorems and Morse inequalities on complex manifolds with boundary

Chin-Yu Hsiao, Rung-Tzung Huang, Xiaoshan Li +1

Let $M$ be a complex manifold of dimension $n$ with smooth connected boundary $X$ . Assume that $M$ admits a holomorphic $S^{1}$ -action preserving the boundary $X$ and the $…

math.CV2017★ 3 cited

Szegő kernels and equivariant embedding theorems for CR manifolds

Hendrik Herrmann, Chin-Yu Hsiao, Xiaoshan Li

We consider a compact connected CR manifold with a transversal CR locally free $R$ -action endowed with a rigid positive CR line bundle. We prove that a certain weighted Fou…

math.CV2017

Equidistribution theorems on strongly pseudoconvex domains

Chin-Yu Hsiao, Guokuan Shao

This work consists of two parts. In the first part, we consider a compact connected strongly pseudoconvex CR manifold $X$ with a transversal CR $S^{1}$ action. We establish an equi…

math.CV2017

An explicit formula for Szego kernels on the Heisenberg group

Hendrik Herrmann, Chin-Yu Hsiao, Xiaoshan Li

In this paper, we give an explicit formula for the Szego kernel for $(0, q)$ forms on the Heisenberg group $H_{n + 1}$ .

math.DG2017★ 4 cited

$G$ -invariant Szegö kernel asymptotics and CR reduction

Chin-Yu Hsiao, Rung-Tzung Huang

Let $(X, T^{1, 0} X)$ be a compact connected orientable CR manifold of dimension $2 n + 1$ with non-degenerate Levi curvature. Assume that $X$ admits a connected compact Lie group actio…