4 papers
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…
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…
Fubini-Study forms on punctured Riemann surfaces
Razvan Apredoaei, Xiaonan Ma, Lei Wang
In this paper we consider a punctured Riemann surface endowed with a Hermitian metric that equals the Poincaré metric near the punctures, and a holomorphic line bundle that polari…
Tian's theorem for Moishezon spaces
Dan Coman, Xiaonan Ma, George Marinescu
We prove that the Fubini-Study currents associated to a sequence of singular Hermitian holomorphic line bundles on a compact normal Moishezon space distribute asymptotically as the…