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 2014Show all

5 papers · 1 filter

math.CV2014

Bergman kernel asymptotics and a pure analytic proof of Kodaira embedding theorem

Chin-Yu Hsiao

In this paper, we survey some recent results about the asymptotic expansion of Bergman kernel and we give a Bergman kernel proof of Kodaira embedding theorem.

math.DG2014★ 16 cited

Berezin-Toeplitz quantization for lower energy forms

Chin-Yu Hsiao, George Marinescu

Let $M$ be an arbitrary complex manifold and let $L$ be a Hermitian holomorphic line bundle over $M$ . We introduce the Berezin-Toeplitz quantization of the open set of $M$ where th…

math.CV2014★ 15 cited

On the singularities of the Szegö projections on lower energy forms

Chin-Yu Hsiao, George Marinescu

Let $X$ be an abstract not necessarily compact orientable CR manifold of dimension $2 n - 1$ , $n ⩾ 2$ . Let $□_{b}^{(q)}$ be the Gaffney extension of Kohn Laplacian for $(0,q)…

math.AP2014★ 1 cited

On CR Paneitz operators and CR pluriharmonic functions

Chin-Yu Hsiao

Let $(X, T^{1, 0} X)$ be a compact orientable embeddable three dimensional strongly pseudoconvex CR manifold and let $P$ be the associated CR Paneitz operator. In this paper,…

math.CV2014

Szegö kernel asymptotics for high power of CR line bundles and Kodaira embedding theorems on CR manifolds

Chin-Yu Hsiao

Let $X$ be an abstract not necessarily compact orientable CR manifold of dimension $2 n - 1$ , $n ⩾ 2$ , and let $L^{k}$ be the $k$ -th tensor power of a CR complex line bundle $L$ o…