Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Classification of subbundles on the Fargues-Fontaine curve   We completely classify all subbundles of a given vector bundle on the
Fargues-Fontaine curve. Our classification is given in terms of a simple and
explicit condition on Harder-Narasimhan polygons. Our proof is inspired by the
proof of the main theorem in [Hon19], but also involves a number of nontrivial
adjustments.

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The categories of this paper are: nlin
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The categories of this paper are: mtrl-th
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The categories of this paper are: q-bio
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The categories of this paper are: adap-org
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The categories of this paper are: solv-int
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The categories of this paper are: econ
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The categories of this paper are: quant-ph
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The categories of this paper are: alg-geom
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The categories of this paper are: astro-ph
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The categories of this paper are: q-alg
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The categories of this paper are: hep-lat
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The categories of this paper are: cs
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The categories of this paper are: patt-sol
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The categories of this paper are: math-ph
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The categories of this paper are: cmp-lg
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The categories of this paper are: funct-an