Angle ranks of abelian varieties
Angle ranks of abelian varieties
复制标题
阿贝尔变种的角列
作者：
Taylor Dupuy;K. Kedlaya;David Zureick
使用牛顿超平面安排的形式主义，我们解决了开放的问题，从工作的前两个作者与罗伊和文森特的角度秩。因此，我们最终推广定理Lenstra-Zarhin和Tankeev证明几个新的情况下，泰特猜想的交换品种在有限领域。我们还获得了一个有效的版本，最近的Zarhin定理的边界之间的Frobenius特征值的乘法关系的系数的高度。
Using the formalism of Newton hyperplane arrangements, we resolve the open questions regarding angle rank left over from work of the first two authors with Roe and Vincent. As a consequence we end up generalizing theorems of Lenstra–Zarhin and Tankeev proving several new cases of the Tate conjecture for abelian varieties over finite fields. We also obtain an effective version of a recent theorem of Zarhin bounding the heights of coefficients in multiplicative relations among Frobenius eigenvalues.
艾哈迈迪和什帕林斯基猜想的反例
影响因子：
0.5
作者：
Dupuy, Taylor;Kedlaya, Kiran;Roe, David;Vincent, Christelle
通讯作者：
Vincent, Christelle