Abstract
The Kodaira Embedding Theorem is extended to Kahler varieties with isolated singularities. UsingL 2 estimates for the bundle-valued\(\bar \partial - operator\), it is shown that a necessary and sufficient condition for a compact normal Kahler variety with isolated singularities to be biholomorphic to a projective-algebraic variety is that the variety admit a holomorphic line bundle that is positive when restricted to the regular part of the variety.
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