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摘要翻译：
我们提出了一种几何方法来测量光滑层束沿边界的野分枝。利用该方法，我们研究了具有正特征的局部域的对数分支群的分次商，并给出了任意剩余域的分次商。我们还定义了满足一定条件的l-adic束的特征圈为对数余切丛上的圈，并证明了与0-截面的交求特征类，从而求出欧拉数。定义2.1.1在V2中得到修正。
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英文标题：
《Wild ramification and the characteristic cycle of an l-adic sheaf》
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作者：
Takeshi Saito
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最新提交年份：
2008
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分类信息：
一级分类：Mathematics 数学
二级分类：Algebraic Geometry 代数几何
分类描述：Algebraic varieties, stacks, sheaves, schemes, moduli spaces, complex geometry, quantum cohomology
代数簇，叠，束，格式，模空间，复几何，量子上同调
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英文摘要：
We propose a geometric method to measure the wild ramification of a smooth etale sheaf along the boundary. Using the method, we study the graded quotients of the logarithmic ramification groups of a local field of positive characteristic with arbitrary residue field. We also define the characteristic cycle of an l-adic sheaf, satisfying certain conditions, as a cycle on the logarithmic cotangent bundle and prove that the intersection with the 0-section computes the characteristic class, and hence the Euler number. Definition 2.1.1 is corrected in v2.
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PDF链接：
https://arxiv.org/pdf/0705.2799
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