On Genera of Smooth Curves in Higher Dimensional Varieties
Jungkai Alfred Chen
alg-geomarXiv:alg-geom/9605008
Abstract
We prove that for any smooth projective variety X of dimension ≥ 3, there exists an integer g0=g0(X), such that for any integer g ≥ g0, there exists a smooth curve C in X with g(C)=g.
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