CONVERGENCE OF FUBINI–STUDY CURRENTS FOR ORBIFOLD LINE BUNDLES

DOI10.1142/S0129167X13500511zbMath1280.32011arXiv1210.5604MaRDI QIDQ2853385

Dan Coman, George Marinescu

Publication date: 21 October 2013

Published in: International Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1210.5604

zbMATH Keywords

Bergman kernelorbifoldsFubini-Study currentsingular Hermitian metricequidistribution of zerosorbifold line bundles

Mathematics Subject Classification ID

Global differential geometry of Hermitian and Kählerian manifolds (53C55) Sheaves and cohomology of sections of holomorphic vector bundles, general results (32L10) Normal analytic spaces (32C20) Currents (32U40)

Related Items (11)

Approximation and equidistribution results for pseudo-effective line bundles ⋮ Equidistribution and convergence speed for zeros of holomorphic sections of singular Hermitian line bundles ⋮ Asymptotics of orbifold Bergman kernels: mixed curvature case ⋮ 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 ⋮ Equidistribution on big line bundles with singular metrics for moderate measures ⋮ The local fundamental group of a Kawamata log terminal singularity is finite ⋮ Bergman kernel asymptotics for singular metrics on punctured Riemann surfaces

Cites Work

• Unnamed Item
• On the extension of \(L^ 2\) holomorphic functions
• Weighted projective embeddings, stability of orbifolds, and constant scalar curvature Kähler metrics
• A numerical criterion for very ample line bundles
• Charakterisierung der Holomorphiegebiete durch die vollständige Kählersche Metrik
• Einstein metrics on spheres
• On a set of polarized Kähler metrics on algebraic manifolds
• Number variance of random zeros on complex manifolds
• Hodge spectral sequence and symmetry on compact Kähler spaces
• Canonical coordinates and Bergmann metrics
• Distribution of zeros of random and quantum chaotic sections of positive line bundles
• Equidistribution of zeros of holomorphic sections in the non-compact setting
• Chaotic eigenfunctions in phase space.
• Oka's inequality for currents and applications
• A remark on weighted Bergman kernels on orbifolds
• Kähler-Einstein metrics on orbifolds and Einstein metrics on spheres
• Distribution of the values of meromorphic transformations and applications
• Singular Kähler-Einstein metrics
• Imbedding of Holomorphically Complete Complex Spaces
• Mesures de Monge-Ampère et caractérisation géométrique des variétés algébriques affines
• Random polynomials with prescribed Newton polytope
• Estimations $\mathrm{L}^2$ pour l'opérateur $\bar \partial$ d'un fibré vectoriel holomorphe semi-positif au-dessus d'une variété kählérienne complète
• Generalized Bergman kernels on symplectic manifolds

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