Holomorphic extensions in smooth toric surfaces

DOI10.1007/s12220-011-9219-7zbMath1257.32009OpenAlexW2158573731MaRDI QIDQ1930282

Małgorzata Aneta Marciniak

Publication date: 10 January 2013

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

Full work available at URL: https://doi.org/10.1007/s12220-011-9219-7

zbMATH Keywords

toric varietyholomorphic extensionHartogs phenomenon

Mathematics Subject Classification ID

Continuation of analytic objects in several complex variables (32D15) Holomorphic functions of several complex variables (32A10)

Related Items (2)

End compactifications and general compactifications ⋮ The Hartogs extension phenomenon in toric varieties

Cites Work

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• Lectures on torus embeddings and applications. (Based on joint work with Katsuya Miyake.)
• Hartogs-Bochner type theorem in projective space
• Über die Enden topologischer Räume und Gruppen
• Holomorphic extensions in complex fiber bundles
• On the extension of holomorphic functions from the boundary of a complex manifold
• Enden offener Räume und unendliche diskontinuierliche Gruppen
• On the Hartogs–Bochner phenomenon for CR functions in $P_2(\mathbb {C})$
• Introduction to Toric Varieties. (AM-131)
• A new proof and an extension of Hartog’s theorem
• The Hartogs extension theorem on (n – 1)-complete complex spaces
• Complex Analysis: A Brief Tour into Higher Dimensions
• Additive Riemann–Hilbert Problem in Line Bundles Over ℂℙ¹

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