Bulletin of the
Korean Mathematical Society BKMS

For a smooth algebraic curve $C$ of genus $g\ge 4$, let $SU_C(r,d)$ be the moduli space of semistable bundles of rank $r \ge 2$ over $C$ with fixed determinant of degree $d$. When $(r,d)=1$, it is known that $SU_C(r,d)$ is a smooth Fano variety of Picard number 1, whose rational curves passing through a general point have degree $\ge r$ with respect to the ample generator of $Pic(SU_C(r,d))$. In this paper, we study the locus swept out by the rational curves on $SU_C(r,d)$ of degree $

Keywords: rational curves, moduli of vector bundles over a curve, scroll, Torelli theorem

MSC numbers: 14C34, 14H60