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On regular parabolicity of complements of weierstrass algebroidal sets

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Abstract

The present paper is dedicated to studying complements of zero sets of Weierstrass polynomials on complex spaces. The main result of the article is a theorem on the description of the structures of polynomials on this type of complex manifolds and using this fact we prove a criterion of regular parabolicity of these manifolds.

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Acknowledgements

The author expresses his sincere gratitude to professors Aytuna and Sadullaev for multiple discussions of the results of the work and for their useful advice.

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  1. Institute of Mathematics Named after V.I.Romanovsky, The Academy of Sciences, Tashkent City, Uzbekistan

    Alimardon Abdirimovich Atamuratov

  2. Urgench State University, Urgench City, Uzbekistan

    Alimardon Abdirimovich Atamuratov

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  1. Alimardon Abdirimovich Atamuratov
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Atamuratov, A.A. On regular parabolicity of complements of weierstrass algebroidal sets. Complex Anal Synerg 9, 8 (2023). https://doi.org/10.1007/s40627-023-00118-6

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