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Classification of quotient bundles on the Fargues-Fontaine curve
被引:2
|作者:
Hong, Serin
[1
]
机构:
[1] Univ Michigan, Dept Math, 530 Church St, Ann Arbor, MI 48109 USA
来源:
关键词:
Primary;
14H60;
Secondary;
11G20;
14D20;
14G22;
VECTOR-BUNDLES;
SPACES;
D O I:
10.1007/s00029-022-00819-6
中图分类号:
O29 [应用数学];
学科分类号:
070104 ;
摘要:
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 subsheaves of a given vector bundle. For the proof, we combine the dimension counting argument for moduli of bundle maps developed in Birkbeck et al. (J Inst Math Jussieu 21:487-532, 2022) with a series of reduction arguments based on some reinterpretation of the classifying conditions.
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页数:49
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