137 citations · 860 across the 66 of their papers we have counts for
70 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…
Parameter Dependence of Weighted Bergman Kernels Beyond Smoothness
George Marinescu, Xu Xing
We study the parameter dependence of weighted Bergman kernels on fixed bounded domains in . Our main result establishes real-analytic dependence on f…
Asymptotic expansion of induced Grassmannian Chern forms and distribution of random degeneracy sets
Turgay Bayraktar, Dan Coman, Bingxiao Liu +1
For the Grassmannian embeddings defined by the spaces , where is a positive line bundle and is a holomorphic vector bundle over a compact complex manif…
Nakano-Griffiths inequality, holomorphic Morse inequalities, and extension theorems for -concave domains
Bingxiao Liu, George Marinescu, Huan Wang
We establish a general Nakano-Griffiths inequality with boundary conditions and apply it to derive holomorphic Morse inequalities for domains satisfying analytic convexity assumpti…
Tian's theorem for Grassmannian embeddings and degeneracy sets of random sections
Turgay Bayraktar, Dan Coman, Bingxiao Liu +1
Let be a compact Kähler manifold, be a positive line bundle, and be a Hermitian holomorphic vector bundle of rank on . We prove that the pullback…
A survey on asymptotic equilibrium distribution of zeros of random holomorphic sections
George Marinescu, Duc-Viet Vu
This is a survey of results concerning the asymptotic equilibrium distribution of zeros of random holomorphic polynomials and holomorphic sections of high powers of a positive line…