On Genera of Smooth Curves in Higher Dimensional Varieties

Details On Genera of Smooth Curves in Higher Dimensional Varieties On Genera of Smooth Curves in Higher Dimensional Varieties

1996-05-15

arxiv.org/abs/alg-geom/9605008v1

Mathematics

Algebraic Geometry

AMS-Tex, 5 pages

Scientific paper

We prove that for any smooth projective variety $X$ of dimension $\geq 3$,
there exists an integer $g_0=g_0(X)$, such that for any integer $g \geq g_0$,
there exists a smooth curve $C$ in $X$ with $g(C)=g$.

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