The Bochner-Hartogs dichotomy for bounded geometry hyperbolic Kähler manifolds

DOI10.5802/aif.3011zbMath1361.32029arXiv1506.04328OpenAlexW2962975957WikidataQ125945832 ScholiaQ125945832MaRDI QIDQ332175

Terrence Napier, Mohan Ramachandran

Publication date: 27 October 2016

Published in: Annales de l'Institut Fourier (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1506.04328

zbMATH Keywords

Kähler manifoldsHartogs extensionfirst compactly supported cohomology

Mathematics Subject Classification ID

Continuation of analytic objects in several complex variables (32D15) Kähler manifolds (32Q15)

Related Items

Lefschetz theorem for holomorphic one-forms on weakly 1-complete manifolds ⋮ A cup product lemma for continuous plurisubharmonic functions

Cites Work

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• Relative ends and duality groups
• On the structure of complete Kähler manifolds with nonnegative curvature near infinity
• On the fundamental group of a compact Kähler manifold
• On boundaries of complex analytic varieties. I
• The Bochner-Hartogs dichotomy for weakly 1-complete Kähler manifolds
• Harmonic maps into singular spaces and \(p\)-adic superrigidity for lattices in groups of rank one
• Structure theorems for complete Kähler manifolds and applications to Lefschetz type theorems
• A Bochner-Hartogs type theorem for coverings of compact Kähler manifolds
• Filtered ends, proper holomorphic mappings of Kähler manifolds to Riemann surfaces, and Kähler groups
• Carleman estimates for the Laplace-Beltrami equation on complex manifolds
• Function-theoretic degeneracy criteria for Riemannian manifolds
• Kähler hyperbolicity and \(L_ 2\)-Hodge theory
• Analytic and meromorphic continuation by means of Green's formula
• L² CASTELNUOVO–DE FRANCHIS, THE CUP PRODUCT LEMMA, AND FILTERED ENDS OF KÄHLER MANIFOLDS
• Continuity of intersection of analytic sets
• Differential equations on riemannian manifolds and their geometric applications
• Remarques sur le revêtement universel des variétés kählériennes compactes
• The 𝐿² ∂̄-method, weak Lefschetz theorems, and the topology of Kähler manifolds
• Estimations $\mathrm{L}^2$ pour l'opérateur $\bar \partial$ d'un fibré vectoriel holomorphe semi-positif au-dessus d'une variété kählérienne complète
• Maximale Holomorphe und Meromorphe Abbildungen, I
• Green Potential of Evans Type on Royden’s Compactification of a Riemann Surface
• Hyperbolic Kähler manifolds and proper holomorphic mappings to Riemann surfaces