论文标题
质量公式和Oort的猜想，用于超高的Abelian三倍
Mass formula and Oort's conjecture for supersingular abelian threefolds
论文作者
论文摘要
使用偏振旗类型商的理论，我们确定了所有主要极化的超高式Abelian三倍的质量公式，这些三倍在代数封闭的特征性$ p $的代数封闭场$ k $上定义。我们将这些结果与自动形态群体的计算相结合，以研究Oort的猜想。我们证明，每一个通用的三维主要极化的超高的亚伯利亚品种超过$ k $的特征性$ \ neq 2 $都有自动形态组$ \ {\ pm 1 \} $。
Using the theory of polarised flag type quotients, we determine mass formulae for all principally polarised supersingular abelian threefolds defined over an algebraically closed field $k$ of characteristic $p$. We combine these results with computations of the automorphism groups to study Oort's conjecture; we prove that every generic three-dimensional principally polarised supersingular abelian variety over $k$ of characteristic $\neq 2$ has automorphism group $\{ \pm 1 \}$.
