论文标题
半协商有限群方案的定量逆Galois问题
Quantitative inverse Galois problem for semicommutative finite group schemes
论文作者
论文摘要
半协商的有限组方案是一种有限的组方案,可以通过迭代性执行半领产品从可交换的有限群体方案获得,并通过换向性核并由正常亚组采用商。在本文中,对于典型的驯服半公路有限的小组计划$ g $,我们对连接的$ g $ torsors的数量(例如判别)给出了较低的限制。
A semicommutative finite group scheme is a finite group scheme which can be obtained from commutative finite group schemes by iterated performing semidirect products with commutative kernels and taking quotients by normal subgroups. In this article, for an étale tame semicommutative finite group scheme $G$, we give a lower bound on the number of connected $G$-torsors of bounded height (such as discriminant).