The normal bundle of a general canonical curve of genus at least 7 is semistable

Abstract

Let $C$ be a general canonical curve of genus $g$ defined over an algebraically closed field of arbitrary characteristic. We prove that if $g\notin \{4,6\}$, then the normal bundle of $C$ is semistable. In particular, if $g\equiv 1$ or $3$ mod $6$, then the normal bundle is stable.

arXiv commentTo appear in Journal of the European Math Society