137 citations · 860 across the 66 of their papers we have counts for
5 papers · 2 filters
Equidistribution for weakly holomorphic sections of line bundles on algebraic curves
Dan Coman, George Marinescu
We prove the convergence of the normalized Fubini-Study measures and the logarithms of the Bergman kernels of various Bergman spaces of holomorphic and weakly holomorphic sections…
Bergman kernels and equidistribution for sequences of line bundles on Kähler manifolds
Dan Coman, Wen Lu, Xiaonan Ma +1
Given a sequence of positive Hermitian holomorphic line bundles on a Kähler manifold , we establish the asymptotic expansion of the Bergman kernel of the space of gl…
Szegő kernel asymptotics on some non-compact complete CR manifolds
Chin-Yu Hsiao, George Marinescu, Huan Wang
We establish Szegő kernel asymptotic expansions on non-compact strictly pseudoconvex complete CR manifolds with transversal CR -action under certain natural geometric c…
Moser-Trudinger inequalities and complex Monge-Ampere equation
Tien-Cuong Dinh, George Marinescu, Duc-Viet Vu
Our aim is to give a version of the Moser-Trudinger inequality in the setting of complex geometry. As a very particular case, our result already gives a new Moser-Trudinger inequal…
Quotient of Bergman kernels on punctured Riemann surfaces
Hugues Auvray, Xiaonan Ma, George Marinescu
In this paper we consider a punctured Riemann surface endowed with a Hermitian metric that equals the Poincar{é} metric near the punctures, and a holomorphic line bundle that polar…