Holomorphic Functions of Exponential Growth on Abelian Coverings of a Projective Manifold

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dc.creatorBrudnyi, Alexander
dc.date2000-01-14
dc.date.accessioned2026-07-07T04:33:20Z
dc.date.available2026-07-07T04:33:20Z
dc.descriptionLet M be a projective manifold, p:M_{G} --> M a regular covering over M with a free abelian transformation group G. We describe holomorphic functions on M_{G} of an exponential growth with respect to the distance defined by a metric pulled back from M. As a corollary we obtain for such functions Cartwright and Liouville type theorems. Our approach brings together L_{2} cohomology technique for holomorphic vector bundles on complete Kähler manifolds and geometric properties of projective manifolds.
dc.identifierhttps://arxiv.org/abs/math/0001088
dc.identifierhttp://arxiv.org/abs/math/0001088
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/58536
dc.subjectComplex Variables
dc.subject32A17; 14E20
dc.titleHolomorphic Functions of Exponential Growth on Abelian Coverings of a Projective Manifold
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