论文标题
theta supersingular abelian品种的无效
Theta Nullvalues of Supersingular Abelian varieties
论文作者
论文摘要
令$η$成为两极分化，与连接的内核在超级专门的Abelian品种$ e^g $上。我们提供了一个足够的标准，可以通过$ \ ker（η）$的最大各向同性亚组方案来计算任何商的theta nullValues $ e^g $的任何商。在Li和Oort研究的许多情况下，满足了此标准。我们使用我们的方法来实现一种构建3属的超大曲线的算法。
Let $η$ be a polarization with connected kernel on a superspecial abelian variety $E^g$. We give a sufficient criterion which allows the computation of the theta nullvalues of any quotient of $E^g$ by a maximal isotropic subgroup scheme of $\ker(η)$ effectively. This criterion is satisfied in many situations studied by Li and Oort. We used our method to implement an algorithm that constructs supersingular curves of genus 3.
