137 citations · 860 across the 66 of their papers we have counts for
6 papers · 1 filter
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.…
Restricted spaces of holomorphic sections vanishing along subvarieties
Dan Coman, George Marinescu, Viêt-Anh Nguyên
Let be a compact normal complex space of dimension and be a holomorphic line bundle on . Suppose that is an -tuple of distinct irreduci…
Semi-classical spectral asymptotics of Toeplitz operators on strictly pseudodonvex domains
Chin-Yu Hsiao, George Marinescu
On a relatively compact strictly pseudoconvex domain with smooth boundary in a complex manifold of dimension we consider a Toeplitz operator with symbol a Reeb-like vecto…
Singular holomorphic Morse inequalities on non-compact manifolds
Dan Coman, George Marinescu, Huan Wang
We study asymptotic estimates of the dimension of cohomology on possibly non-compact complex manifolds for line bundles endowed with Hermitian metrics with algebraic singularities.…
Semi-classical spectral asymptotics of Toeplitz operators on CR manifolds
Hendrik Herrmann, Chin-Yu Hsiao, George Marinescu +1
Let be a compact strictly pseudoconvex embeddable CR manifold and let be the Toeplitz operator on associated with some first order pseudodifferential operator . We…
Gaussian holomorphic sections on noncompact complex manifolds
Alexander Drewitz, Bingxiao Liu, George Marinescu
We give two constructions of Gaussian-like random holomorphic sections of a Hermitian holomorphic line bundle on a Hermitian complex manifold . In particular, we…