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arXiv · 1703.06213

The normal bundle of canonical genus 8 curves

Gregor Bruns
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Abstract

We study the stability of the normal bundle of canonical genus $8$ curves and prove that on a general curve the bundle is stable. The proof rests on Mukai's description of these curves as linear sections of a Grassmannian $\mathrm{G}(2,6)$. This is the next case of a conjecture by M. Aprodu, G. Farkas, and A. Ortega: the general canonical curve of every genus $g \geq 7$ should have stable normal bundle. We also give some more evidence for this conjecture in higher genus.

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Gregor Bruns. 2017-03-27. The normal bundle of canonical genus 8 curves. https://arxiv.org/abs/1703.06213

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