Weighted Bergman kernels on orbifolds

DOI10.4310/jdg/1317758870zbMath1244.32002arXiv0907.5215OpenAlexW2151842113WikidataQ115170727 ScholiaQ115170727MaRDI QIDQ661933

Richard P. Thomas, Julius Ross

Publication date: 11 February 2012

Published in: Journal of Differential Geometry (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0907.5215

zbMATH Keywords

Bergman kernelorbifoldquantizationweighted projective spacepolarisationcyclic quotient singularityRiemman-Roch formula

Mathematics Subject Classification ID

Global differential geometry of Hermitian and Kählerian manifolds (53C55) Kähler manifolds (32Q15) Geometric quantization (53D50) Integral representations; canonical kernels (Szeg?, Bergman, etc.) (32A25) Topology and geometry of orbifolds (57R18)

Related Items (8)

Asymptotics of partial density functions for divisors ⋮ Asymptotics of orbifold Bergman kernels: mixed curvature case ⋮ Szegö kernel asymptotic expansion on strongly pseudoconvex CR manifolds with S1 action ⋮ Variation of singular Kähler-Einstein metrics: positive Kodaira dimension ⋮ Torus equivariant Szegő kernel asymptotics on strongly pseudoconvex CR manifolds ⋮ A closed formula for the asymptotic expansion of the Bergman kernel ⋮ Projective embedding of log Riemann surfaces and K-stability ⋮ Central charge from adiabatic transport of cusp singularities in the quantum Hall effect

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