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19972026
most citedGeneralized Bergman kernels on symplectic manifolds

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

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Showing 2016 · math.CVShow all

5 papers · 2 filters

math.CV2016★ 6 cited

Approximation and equidistribution results for pseudo-effective line bundles

Dan Coman, George Marinescu, Viêt-Anh Nguyên

We study the distribution of the common zero sets of -tuples of holomorphic sections of powers of singular Hermitian pseudo-effective line bundles on a compact Kähler manifo…

math.CV2016

Bergman kernel asymptotics for singular metrics on punctured Riemann surfaces

Dan Coman, Semyon Klevtsov, George Marinescu

We consider singular metrics on a punctured Riemann surface and on a line bundle and study the behavior of the Bergman kernel in the neighbourhood of the punctures. The results hav…

math.CV2016★ 4 cited

On the stability of equivariant embedding of compact CR manifolds with circle action

Chin-Yu Hsiao, Xiaoshan Li, George Marinescu

We prove the stability of the equivariant embedding of compact strictly pseudoconvex CR manifolds with transversal CR circle action under circle invariant perturbations of the CR s…

math.CV2016

Equivariant Kodaira embedding of CR manifolds with circle action

Chin-Yu Hsiao, Xiaoshan Li, George Marinescu

We consider a compact CR manifold with a transversal CR locally free circle action endowed with a rigid positive CR line bundle. We prove that a certain weighted Fourier-Szegő kern…

math.CV2016★ 7 cited

On the first order asymptotics of partial Bergman kernels

Dan Coman, George Marinescu

We show that under very general assumptions the partial Bergman kernel function of sections vanishing along an analytic hypersurface has exponential decay in a neighborhood of the…