Group schemes with additional structures and Weyl group cosets
Group schemes with additional structures and Weyl group cosets
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具有附加结构和 Weyl 群陪集的群方案
DOI：
10.1007/978-3-0348-8303-0_10
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发表时间：
2001
影响因子：
2.6
通讯作者：
B. Moonen
中科院分区：
文献类型：
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作者：
B. Moonen
设Y是特征p>0的代数闭域k上的维数的阿贝尔簇.对于Y，我们可以将其p-核Y[p]联系起来，它是秩为p2 gg的有限交换k-群概型。在未发表的手稿[8]中，Kraft证明了，固定g，只有200多个这样的群方案，直到同构。(As我们将在后面讨论，Kraft也对所有可能的类型进行了非常好的描述。）大约20年后，奥尔特独立地重新获得了这个结果。连同埃克达尔，他用它来定义和研究分层的模空间akof主要极化阿贝尔品种overk。该层对应于对（Y，这样的p-内核是一个固定的同构类型。他们的结果可以在[11]和[12]中找到;另见货车der Geer在[，[17]中的相关工作。
Let Y be an abelian variety of dimensiongover an algebraically closed fieldkof characteristicp >0. To Y we can associate its p-kernel Y[p], which is a finite commutative k-group scheme of rank p2 gg. In the unpublished manuscript [8], Kraft showed that, fixinggthere are only finitely many such group schemes, up to isomorphism. (As we shall discuss later, Kraft also gave a very nice description of all possible types.) About 20 years later, this result was re-obtained, independently, by Oort. Together with Ekedahl he used it to define and study a stratification of the moduli space akof principally polarized abelian varieties overk.The strata correspond to the pairs (Y, such that the p-kernel is of a fixed isomorphism type. Their results can be found in [11] and [12]; see also related work by van der Geer in [, [17].
DOI：
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发表时间：
1984
期刊：
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影响因子：
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作者：
M. Wodzicki
通讯作者：
M. Wodzicki