Mochizuki's crys-stable bundles: a lexicon and applications
Mochizuki's crys-stable bundles: a lexicon and applications
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Mochizuki 的晶体稳定包：词典和应用
DOI：
10.2977/prims/1199403809
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发表时间：
2004
影响因子：
1.2
通讯作者：
Brian Osserman
中科院分区：
文献类型：
--
作者：
Brian Osserman
Mochizuki关于torally crys-stable bundle的工作[18]对曲线上秩为2的向量丛的对数联络理论有着广泛的影响，只要语言被适当地翻译。我们描述了如何进行这种转换，并给出两类应用：第一，人们可以得出几乎立即确定的结果分类Frobenius不稳定向量丛的曲线;第二，它遵循[22]的结果，人们也得到了结果的有理函数与规定的分歧，在积极的特点。
Mochizuki's work on torally crys-stable bundles [18] has extensive implications for the theory of logarithmic connections on vector bundles of rank 2 on curves, once the language is translated appropriately. We describe how to carry out this translation, and give two classes of applications: first, one can conclude almost immediately certain results classifying Frobenius-unstable vector bundles on curves; and second, it follows from the results of [22] that one also obtains results on rational functions with prescribed ramification in positive characteristic.