Monodromy and irreducibility of leaves
Monodromy and irreducibility of leaves
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叶子的单性和不可约性
DOI：
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发表时间：
2011
期刊：
影响因子：
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通讯作者：
F. Oort
中科院分区：
文献类型：
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作者：
C. Chai;F. Oort
我们表明，非超奇异牛顿多边形地层在主要极化的情况下是不可约的。在正特征交换簇的模空间中考虑开牛顿多边形地层的叶理理论。我们证明了任何非超奇异叶是不可约的，并且在这样的叶上的单值性是极大的。注意，在最终结果中，偏振度是任意的。这里证明的叶的不可约性是Hecke轨道猜想证明的离散部分，该证明将在[7]中发表。对于这个证明的调查和术语"离散部分"见[2]。
We show that non-supersingular Newton polygon strata in the principally polarized case are irreducible. Consider the theory of foliations of an open Newton polygon stratum in the moduli space of abelian varieties in positive characteristic. We show that any non-supersingular leaf is irreducible ,a nd that the monodromy on such a leaf is maximal. Note that in the final result degrees of polarizations are arbitrary. The irreducibility of leaves, as proved here, is the discrete part of a proof of the Hecke orbit conjecture, which will be published in [7]. For a survey of this proof and for the terminology “discrete part” see [2].