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
SELECTA MATHEMATICA-NEW SERIES | 2023年 / 29卷 / 02期
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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