Classification of quotient bundles on the Fargues-Fontaine curve
Fuente:
arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2019
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| _version_ | 1866929268818182144 |
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| author | Hong, Serin |
| author_facet | Hong, Serin |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1904_02918 |
| institution | arXiv |
| publishDate | 2019 |
| record_format | arxiv |
| spellingShingle | Classification of quotient bundles on the Fargues-Fontaine curve Hong, Serin Number Theory Algebraic Geometry 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. |
| title | Classification of quotient bundles on the Fargues-Fontaine curve |
| topic | Number Theory Algebraic Geometry |
| url | https://arxiv.org/abs/1904.02918 |