论文标题
CM Abelian品种在$ P $ ADIC领域的扭转范围，其价值在$ p $ -poppow
Bounds on torsion of CM abelian varieties over a $p$-adic field with values in a field of $p$-power roots
论文作者
论文摘要
让$ p $为质量数字，$ m $ $ p $ adiC字段的扩展字段$ k $由毗邻的所有$ p $ - 所有元素的根源$ k $。在本文中，我们表明存在一个恒定的$ c $，仅取决于$ k $和一个整数$ g> 0 $，它满足以下属性：如果$ a _ {/k} $是$ g $ dimensional cm的Abelian品种，那么$ a（m）$的Torsion子组的订单是$ c $的。
Let $p$ be a prime number and $M$ the extension field of a $p$-adic field $K$ obtained by adjoining all $p$-power roots of all elements of $K$. In this paper, we show that there exists a constant $C$, depending only on $K$ and an integer $g>0$, which satisfies the following property:If $A_{/K}$ is a $g$-dimensional CM abelian variety, then the order of the torsion subgroup of $A(M)$ is bounded by $C$.
