The Carlitz shtuka
The Carlitz shtuka
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DOI：
10.1016/j.jnt.2010.09.004
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发表时间：
2010-08
影响因子：
0.7
通讯作者：
L. Taelman
中科院分区：
文献类型：
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作者：
L. Taelman
最近，我们已经使用Carlitz指数映射来定义Carlitz模的一个具有正确性质的子模，该子模是数域中单位群的函数域模拟。类似地，我们构造了一个类似于数域类群的有限模。本文给出了这些“单位”模和“类”模的更多代数构造，它们与Shtukas范畴中的Ext模有关。
Recently we have used the Carlitz exponential map to define a finitely generated submodule of the Carlitz module having the right properties to be a function field analogue of the group of units in a number field. Similarly, we constructed a finite module analogous to the class group of a number field. In this short note more algebraic constructions of these “unit” and “class” modules are given and they are related to Ext modules in the category of shtukas.