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On genera of smooth curves in higher dimensional varieties

Authors:	Jungkai Alfred Chen

Affiliation:	Department of Mathematics, University of California at Los Angeles, Los Angeles, California 90095-1555

Abstract:	We prove that for any smooth projective variety of dimension , there exists an integer $g_{0}=g_{0}(X)$ , such that for any integer $g geq g_{0}$ , there exists a smooth curve in with .

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