Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The normal bundle of canonical genus 8 curves   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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The categories of this paper are: astro-ph
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The categories of this paper are: adap-org
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The categories of this paper are: chem-ph
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The categories of this paper are: plasm-ph
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The categories of this paper are: physics
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The categories of this paper are: nucl-th
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The categories of this paper are: q-alg
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The categories of this paper are: alg-geom
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The categories of this paper are: ao-sci
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The categories of this paper are: chao-dyn
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The categories of this paper are: q-bio
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The categories of this paper are: nlin
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The categories of this paper are: dg-ga
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The categories of this paper are: acc-phys
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The categories of this paper are: q-fin
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The categories of this paper are: funct-an