G. Marinescu

activity

19972026

most citedGeneralized Bergman kernels on symplectic manifolds

137 citations · 860 across the 66 of their papers we have counts for

collaborators

Showing 2023 · math.CVShow all

5 papers · 2 filters

math.CV2023

Restricted spaces of holomorphic sections vanishing along subvarieties

Dan Coman, George Marinescu, Viêt-Anh Nguyên

Let $X$ be a compact normal complex space of dimension $n$ and $L$ be a holomorphic line bundle on $X$ . Suppose that $Σ = (Σ_{1}, \dots, Σ_{ℓ})$ is an $ℓ$ -tuple of distinct irreduci…

math.CV2023

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 $n$ we consider a Toeplitz operator $T_{R}$ with symbol a Reeb-like vecto…

math.CV2023

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.…

math.CV2023★ 1 cited

Semi-classical spectral asymptotics of Toeplitz operators on CR manifolds

Hendrik Herrmann, Chin-Yu Hsiao, George Marinescu +1

Let $X$ be a compact strictly pseudoconvex embeddable CR manifold and let $T_{P}$ be the Toeplitz operator on $X$ associated with some first order pseudodifferential operator $P$ . We…

math.CV2023

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 $(L, h_{L})$ on a Hermitian complex manifold $(X, Θ)$ . In particular, we…