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arXiv · 2203.13211

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

Izzet Coskun·Eric Larson·Isabel Vogt
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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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Izzet Coskun, Eric Larson, Isabel Vogt. 2022-03-24. The normal bundle of a general canonical curve of genus at least 7 is semistable. https://arxiv.org/abs/2203.13211

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