论文标题
在$ bt_1 $ $ group计划和fermat jacobians上
On $BT_1$ group schemes and Fermat Jacobians
论文作者
论文摘要
让$ p $为质量数字，让$ k $是特征$ p $的代数封闭场。 $ k $上的$ bt_1 $组方案是有限的交换组计划，在$ p $ divisible（barsotti-tate）组上作为$ p $的内核产生。我们比较了$ BT_1 $组方案的三个分类，这在很大程度上是由于Kraft，Ekedahl和Oort的，并使用单词，规范过滤和排列进行了定义。使用此比较，我们确定了Fermat商曲线的Ekedahl- ekedahl类型，并计算了这些曲线的$ p $ torsion组方案的四个不变性。
Let $p$ be a prime number and let $k$ be an algebraically closed field of characteristic $p$. A $BT_1$ group scheme over $k$ is a finite commutative group scheme which arises as the kernel of $p$ on a $p$-divisible (Barsotti--Tate) group. We compare three classifications of $BT_1$ group schemes, due in large part to Kraft, Ekedahl, and Oort, and defined using words, canonical filtrations, and permutations. Using this comparison, we determine the Ekedahl--Oort types of Fermat quotient curves and we compute four invariants of the $p$-torsion group schemes of these curves.
