A cup product lemma for continuous plurisubharmonic functions

DOI10.1142/S1793525318500085zbMath1393.32010arXiv1704.06496OpenAlexW3104405989WikidataQ124969391 ScholiaQ124969391MaRDI QIDQ4565334

Mohan Ramachandran, Terrence Napier

Publication date: 12 June 2018

Published in: Journal of Topology and Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1704.06496

zbMATH Keywords

plurisubharmonic functionsKähler manifoldsBochner-Hartogs property

Mathematics Subject Classification ID

Kähler manifolds (32Q15) Plurisubharmonic functions and generalizations (32U05)

Cites Work

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• The Bochner-Hartogs dichotomy for bounded geometry hyperbolic Kähler manifolds
• On the structure of complete Kähler manifolds with nonnegative curvature near infinity
• Vanishing theorems for weakly 1-complete manifolds. II
• 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
• Cohomology of q-convex spaces in top degrees
• 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
• Stetige streng pseudokonvexe Funktionen
• Kähler hyperbolicity and \(L_ 2\)-Hodge theory
• A special Stoke's theorem for complete Riemannian manifolds
• Analytic and meromorphic continuation by means of Green's formula
• $C^\infty$ approximations of convex, subharmonic, and plurisubharmonic functions
• L² CASTELNUOVO–DE FRANCHIS, THE CUP PRODUCT LEMMA, AND FILTERED ENDS OF KÄHLER MANIFOLDS
• Continuity of intersection of analytic sets
• 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
• Hyperbolic Kähler manifolds and proper holomorphic mappings to Riemann surfaces
• Generically strongly \(q\)-convex complex manifolds