The geometry of certain cocycles associated to derivatives of L-functions
The geometry of certain cocycles associated to derivatives of L-functions
复制标题
与 L 函数导数相关的某些余环的几何形状
DOI：
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发表时间：
2005
期刊：
影响因子：
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通讯作者：
N. Diamantis
中科院分区：
文献类型：
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作者：
N. Diamantis
基于Manin关于模符号与l -函数的临界值的表达式，Goldfeld和作者构造了与l -函数的导数值类似的群环。在这篇笔记中，我们提出了基于非紧化模曲线的上同调的这些共环的几何解释。
Abstract Motivated by Manin’s expression relating modular symbols to critical values of L-functions, Goldfeld and the author have constructed group cocycles which are related in an analogous way to values of derivatives of L-functions. In this note, we propose a geometric interpretation of these cocycles that is based on the cohomology of the non-compactified modular curve.