论文标题
普通同学类别的有限田的环状阿贝尔品种
Cyclic abelian varieties over finite fields in ordinary isogeny classes
论文作者
论文摘要
考虑到在有限的字段$ k $上定义的Abelian品种$ a $，我们说$ a $是“循环”，如果其$ a（k）$ a（k）合理点是循环的。在本文中，我们在循环的亚伯利亚品种之间给出了培养的普通等级类别$ \ Mathcal {a} $与Weil多项式$ f _ {\ Mathcal {a}} $之间的培训和具有无数量的矩阵，具有$ f _ {\ Mathcal {\ nathcal {a a} polotaliant and特征。
Given an abelian variety $A$ defined over a finite field $k$, we say that $A$ is "cyclic" if its group $A(k)$ of rational points is cyclic. In this paper we give a bijection between cyclic abelian varieties of an ordinary isogeny class $\mathcal{A}$ with Weil polynomial $f_{\mathcal{A}}$ and some classes of matrices with integer coefficients and having $f_{\mathcal{A}}$ as characteristic polynomial.
