On Genera of Smooth Curves in Higher Dimensional Varieties

1996/05/15 by Jungkai Alfred Chen, Chen, Jungkai Alfred
Mathematics · #Algebraic Geometry (math.AG) #FOS: Mathematics #alg-geom #math.AG

paper · pdf · doi:10.48550/arxiv.alg-geom/9605008

AMS-Tex, 5 pages

arxiv created 1996/05/15 · arxiv updated 2009/11/30

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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