Let p be a prime number and let k be an algebraically closed field of characteristic p. A BT1 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 BT1 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.
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机译:让P成为素数,让K成为一个代数封闭的特征p领域。 BT1基团方案k是有限的换向组方案,它是P-Difisible(Barsotti-Tate)组上的p的核。 我们比较BT1组计划的三个分类,大部分到牛皮纸,Ekedahl和OORT,以及使用单词,规范过滤和排列定义。 使用此比较,我们确定ekedahl - ok - oort类型的fermat商类型曲线,我们计算了这些曲线的p-torsion组方案的四种不变性。
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