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Holomorphic Extensions in Smooth Toric Surfaces

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This article describes the Hartogs and the Hartogs–Bochner extension phenomena in smooth toric surfaces and the connection with the first cohomology group with compact support. The affirmative and negative results are proved using topological, analytic, and algebraic methods.

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Correspondence to Małgorzata Aneta Marciniak.

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Communicated by Alexander Isaev.

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Marciniak, M.A. Holomorphic Extensions in Smooth Toric Surfaces. J Geom Anal 22, 911–933 (2012). https://doi.org/10.1007/s12220-011-9219-7

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