Weight-monodromy conjecture over equal characteristic local fields
Weight-monodromy conjecture over equal characteristic local fields
复制标题
等特征局部域上的权重单调猜想
DOI：
10.1353/ajm.2005.0022
复制
发表时间：
2003
影响因子：
1.7
通讯作者：
Tetsushi Ito
中科院分区：
文献类型：
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作者：
Tetsushi Ito
本文的目的是研究Rapoport-Zink的权谱序列的某些性质的特殊化的论点。通过减少到Deligne以前处理的有限域上的情况下，我们证明了定义在l-adic etale上同调的权过滤和monodromy过滤一致，直到移位，对于相等特征局部域上的真光滑簇。我们还证明了在E2退化的重量谱序列的任何特征，而不使用日志几何。此外，作为一个应用程序，我们给一个模p 0减少证明霍奇模拟以前考虑Steenbrink。
The aim of this paper is to study certain properties of the weight spectral sequences of Rapoport-Zink by a specialization argument. By reducing to the case over finite fields previously treated by Deligne, we prove that the weight filtration and the monodromy filtration defined on the l -adic etale cohomology coincide, up to shift, for proper smooth varieties over equal characteristic local fields. We also prove that the weight spectral sequences degenerate at E 2 in any characteristic without using log geometry. Moreover, as an application, we give a modulo p 0 reduction proof of a Hodge analogue previously considered by Steenbrink.