类的不变量：函数属性与Noyau研究应用
Invariants de classes : propriétés fonctorielles et applications à l'étude du noyau
摘要：
类不变的同态允许一个测量的伽罗瓦模块结构torsors-在有限的平面组计划-这是在图像的coboundary映射相关联的一个确切的序列。它首先由马丁·泰勒（Martin Taylor）提出（确切的序列由阿贝尔方案之间的等价关系给出）。我们首先给出这个同态的一般性质，然后我们继续研究的情况下，当确切序列的乘法由$n$上的扩展阿贝尔计划的环面。
英文摘要：
The class-invariant homomorphism allows one to measure the Galois module structure of torsors--under a finite flat group scheme--which lie in the image of a coboundary map associated to an exact sequence. It has been introduced first by Martin Taylor (the exact sequence being given by an isogeny between abelian schemes). We begin by giving general properties of this homomorphism, then we pursue its study in the case when the exact sequence is given by the multiplication by $n$ on an extension of an abelian scheme by a torus.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
