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arXiv · 1911.04119

Classification of subbundles on the Fargues-Fontaine curve

Serin Hong
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Abstract

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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Serin Hong. 2019-11-11. Classification of subbundles on the Fargues-Fontaine curve. https://doi.org/10.2140/ant.2021.15.1127

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