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arXiv · 1904.02918

Classification of quotient bundles on the Fargues-Fontaine curve

Serin Hong
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Abstract

We completely classify all quotient bundles of a given vector bundle on the Fargues-Fontaine curve. As consequences, we have two additional classification results: a complete classification of all vector bundles that are generated by a fixed number of global sections and a nearly complete classification of subbundles of a given vector bundle. For the proof, we combine the dimension counting argument for moduli of bundle maps developed in [BFH+17] with a series of reduction arguments based on some reinterpretation of the classifying conditions.

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Serin Hong. 2019-04-05. Classification of quotient bundles on the Fargues-Fontaine curve. https://doi.org/10.1007/s00029-022-00819-6

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