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

Published 24 Mar 2022 in math.AG | (2203.13211v2)

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.

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