Hölder Singular Metrics on Big Line Bundles and Equidistribution

DOI10.1093/imrn/rnv303zbMath1404.32035arXiv1506.01727OpenAlexW3099119184MaRDI QIDQ4560498

George Marinescu, Dan Coman, Viêt-Anh Nguyên

Publication date: 12 December 2018

Published in: International Mathematics Research Notices (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1506.01727

Mathematics Subject Classification ID

Global differential geometry of Hermitian and Kählerian manifolds (53C55) Kähler manifolds (32Q15) Holomorphic bundles and generalizations (32L05) Currents (32U40)

Related Items (10)

Approximation and equidistribution results for pseudo-effective line bundles ⋮ The Gauss-Bonnet-Chern theorem: A probabilistic perspective ⋮ On the Bergman kernel in weighted monogenic Bargmann-Fock spaces ⋮ Bergman kernels and equidistribution for sequences of line bundles on Kähler manifolds ⋮ Equidistribution for weakly holomorphic sections of line bundles on algebraic curves ⋮ Universality results for zeros of random holomorphic sections ⋮ Asymptotic normality of linear statistics of zeros of random polynomials ⋮ Equidistribution on big line bundles with singular metrics for moderate measures ⋮ Equidistribution theorems on strongly pseudoconvex domains ⋮ Bergman kernel asymptotics for singular metrics on punctured Riemann surfaces

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