Holomorphic Functions of Exponential Growth on Abelian Coverings of a Projective Manifold
نویسنده
چکیده
Let M be a projective manifold, p : MG −→ M a regular covering over M with a free abelian transformation group G. We describe holomorphic functions on MG 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 L2 cohomology technique for holomorphic vector bundles on complete Kähler manifolds and geometric properties of projective manifolds.
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تاریخ انتشار 2008