Discrete and continuous versions of the continuity principle

DOI10.1007/s12220-022-00961-9zbMath1498.32002arXiv2112.05955OpenAlexW4283156953WikidataQ114221009 ScholiaQ114221009MaRDI QIDQ2149961

Sergey M. Ivashkovich

Publication date: 27 June 2022

Published in: The Journal of Geometric Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2112.05955

zbMATH Keywords

Hausdorff metricholomorphic functionmeromorphic functioncontinuity principleanalytic set

Mathematics Subject Classification ID

Continuation of analytic objects in several complex variables (32D15) Envelopes of holomorphy (32D10)

Cites Work

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• Envelopes of holomorphy and holomorphic discs
• Every Stein subvariety admits a Stein neighborhood
• Structure of the moduli space in a neighborhood of a cusp-curve and meromorphic hulls
• Cohomology of q-convex spaces in top degrees
• Zur Theorie der analytischen Funktionen mehrerer komplexer Veränderlichen. Der Kontinuitätssatz und die Regulärkonvexität
• Analytische Funktionen mehrerer komplexer Veränderlichen. Über die Voraussetzungen des Kontinuitätssatzes
• On envelops of holomorphy
• Generalization of Levi-Oka’s Theorem Concerning Meromorphic Functions

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