Stability of normal bundles of Brill-Noether curves

Izzet Coskun, Geoffrey Smith

We prove that the normal bundle of a general Brill-Noether curve of genus $g\ge 1$ and degree $d$ in ${\mathbb{P}}^r$ is semistable if $g=1$ or $g\geq \left \lceil \frac{5r}{2}\rig…