137 citations · 594 across the 24 of their papers we have counts for
26 papers
Quantization Commutes with Reduction for Embeddable CR Reductions
Chin-Yu Hsiao, Rung-Tzung Huang, Xiaonan Ma +1
We prove a canonical quantization-commutes-with-reduction theorem for CR functions. Under the geometric hypotheses of Hsiao--Ma--Marinescu, if the zero moment level is nonempty and…
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 t…
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 polariz…
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…
Bergman kernels and equidistribution for sequences of line bundles on Kähler manifolds
Dan Coman, Wen Lu, Xiaonan Ma +1
Given a sequence of positive Hermitian holomorphic line bundles on a Kähler manifold , we establish the asymptotic expansion of the Bergman kernel of the space of gl…