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Holomorphic functions of exponential growth on Abelian coverings of a projective manifold - MaRDI portal

Holomorphic functions of exponential growth on Abelian coverings of a projective manifold (Q2731697)

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scientific article; zbMATH DE number 1626377
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English
Holomorphic functions of exponential growth on Abelian coverings of a projective manifold
scientific article; zbMATH DE number 1626377

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    4 November 2001
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    regular covering with an abelian transformation group
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    positive vector bundle
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    \(\alpha^2\)-cohomology
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    holomorphic functions
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    Holomorphic functions of exponential growth on Abelian coverings of a projective manifold (English)
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    The paper is devoted to the study of slowly growing holomorphic functions on Abelian coverings of projective manifolds. The approach is based on the \(\alpha^2\)-cohomology technique for holomorphic vector bundles on complete Kähler manifolds and on the geometric properties of projective manifolds.
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