Equidistribution for sequences of line bundles on normal Kähler spaces

DOI10.2140/gt.2017.21.923zbMath1457.32051arXiv1412.8184OpenAlexW3101043485MaRDI QIDQ520879

George Marinescu, Dan Coman, Xiaonan Ma

Publication date: 6 April 2017

Published in: Geometry \& Topology (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1412.8184

zbMATH Keywords

Bergman kernel functionFubini-Study currentsingular Hermitian metriccompact normal Kähler complex spacezeros of random holomorphic sections

Mathematics Subject Classification ID

Quantum chaos (81Q50) Sheaves and cohomology of sections of holomorphic vector bundles, general results (32L10) Normal analytic spaces (32C20) Zero sets of holomorphic functions of several complex variables (32A60) Currents (32U40)

Related Items (14)

Approximation and equidistribution results for pseudo-effective line bundles ⋮ The Gauss-Bonnet-Chern theorem: A probabilistic perspective ⋮ The asymptotic behavior of Bergman kernels ⋮ Complex geometry and dynamical systems. Abstracts from the workshop held September 4--10, 2022 ⋮ 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 ⋮ On the first order asymptotics of partial Bergman kernels ⋮ Asymptotic normality of linear statistics of zeros of random polynomials ⋮ Equidistribution on big line bundles with singular metrics for moderate measures ⋮ Asymptotic expansion of the variance of random zeros on complex manifolds ⋮ Equidistribution theorems on strongly pseudoconvex domains ⋮ Bergman kernel asymptotics for singular metrics on punctured Riemann surfaces ⋮ The uniform version of Yau-Tian-Donaldson conjecture for singular Fano varieties

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