On the growth of von Neumann dimension of harmonic spaces of semipositive line bundles over covering manifolds

DOI10.1142/S0129167X16500932zbMath1373.32004arXiv1505.04322OpenAlexW2963925740WikidataQ126270773 ScholiaQ126270773MaRDI QIDQ2836253

Huan Wang

Publication date: 9 December 2016

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

Full work available at URL: https://arxiv.org/abs/1505.04322

zbMATH Keywords

Bergman kernel functionvon Neumann dimensioncovering manifoldsemipositive line bundle

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) Integral representations; canonical kernels (Szeg?, Bergman, etc.) (32A25)

Related Items

On Bergman kernel functions and weak holomorphic Morse inequalities, The growth of dimension of cohomology of semipositive line bundles on Hermitian manifolds, Cohomology dimension growth for Nakano \(q\)-semipositive line bundles

Cites Work

• Champs magnétiques et inégalités de Morse pour la d-cohomologie. (Magnetic fields and Morse inequalities for d-cohomology)
• A vanishing theorem for semipositive line bundles over non-Kähler manifolds
• An eigenvalue estimate for the \(\overline{\partial}\)-Laplacian
• Carleman estimates for the Laplace-Beltrami equation on complex manifolds
• Equidistribution results for singular metrics on line bundles
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