论文标题
计算积极特征的离散变种。 I. ekedahl-oort曲线类型
Computing discrete invariants of varieties in positive characteristic. I. Ekedahl-Oort types of curves
论文作者
论文摘要
我们开发了一种在特征p的场k上计算曲线C的ekedahl-oort类型（这是p-kernel组方案J [p]的同构类型，其中j是C的jacobian）。我们方法的一部分是一般的，因为我们介绍了Hasse-Witt Triple的新概念，该概念以J [P]的Dieudonne模块中包含的信息进行了有用的方式重新编码。对于完整的相交曲线，我们提供了一种简单的方法来计算此Hasse Witt三重。岩浆中可以使用此方法的实现。
We develop a method to compute the Ekedahl-Oort type of a curve C over a field k of characteristic p (which is the isomorphism type of the p-kernel group scheme J[p], where J is the Jacobian of C). Part of our method is general, in that we introduce the new notion of a Hasse-Witt triple, which re-encodes in a useful way the information contained in the Dieudonne module of J[p]. For complete intersection curves we then give a simple method to compute this Hasse-Witt triple. An implementation of this method is available in Magma.
