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Periods of t-modules as special values
Journal of Number Theory ( IF 0.7 ) Pub Date : 2018-12-07 , DOI: 10.1016/j.jnt.2018.09.024 Andreas Maurischat
中文翻译:
t 模的周期作为特殊值
更新日期:2018-12-07
Journal of Number Theory ( IF 0.7 ) Pub Date : 2018-12-07 , DOI: 10.1016/j.jnt.2018.09.024 Andreas Maurischat
In this article we show that all periods of uniformizable t-modules (resp. their coordinates) can be obtained via specializing a rigid analytic trivialization of a related dual t-motive at . The proof is even constructive. The central object in the construction is a subset H of the Tate algebra points of E which turns out to be isomorphic to the period lattice of E via kind of generating series in one direction and residues in the other. This isomorphism even holds for arbitrary t-modules E, even non-abelian ones.
中文翻译:
t 模的周期作为特殊值
在本文中,我们展示了所有可统一t模(及其坐标)的周期都可以通过专门化相关对偶t动力的刚性解析平凡化来获得. 这个证明甚至是建设性的。在施工中中央对象是一个子集ħ的泰特代数点Ë这原来是同构的周期晶格ë经由种类生成另一个在一个方向上串联和残留物。这种同构甚至适用于任意t模E,甚至是非阿贝尔模。