137 citations · 860 across the 66 of their papers we have counts for
17 papers · 1 filter
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…
Geometric quantization results for semi-positive line bundles on a Riemann surface
George Marinescu, Nikhil Savale
In earlier work the authors proved the Bergman kernel expansion for semipositive line bundles over a Riemann surface whose curvature vanishes to atmost finite order at each point.…
Bochner Laplacian and Bergman kernel expansion of semi-positive line bundles on a Riemann surface
George Marinescu, Nikhil Savale
We generalize the results of Montgomery for the Bochner Laplacian on high tensor powers of a line bundle. When specialized to Riemann surfaces, this leads to the Bergman kernel exp…
Generalized Bergman kernels on symplectic manifolds of bounded geometry
Yuri A. Kordyukov, Xiaonan Ma, George Marinescu
We study the asymptotic behavior of the generalized Bergman kernel of the renormalized Bochner-Laplacian on high tensor powers of a positive line bundle on a symplectic manifold of…
Berezin-Toeplitz quantization for eigenstates of the Bochner-Laplacian on symplectic manifolds
Louis Ioos, Wen Lu, Xiaonan Ma +1
We study the Berezin-Toeplitz quantization using as quantum space the space of eigenstates of the renormalized Bochner Laplacian corresponding to eigenvalues localized near the ori…
Donaldson's -operators for symplectic manifolds
Wen Lu, Xiaonan Ma, George Marinescu
We prove an estimate for Donaldson's -operator on a prequantized compact symplectic manifold. This estimate is an ingredient in the recent result of Keller and Lejmi about a sym…