On Genera of Smooth Curves in Higher Dimensional Varieties
Abstract
Description
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 $g(C)=g$.
AMS-Tex, 5 pages
AMS-Tex, 5 pages