Abstract Let K be a field complete with respect to a discrete valuation whose residue field is algebraically closed of an odd positive characteristic. We study the ramification in the cohomology of a smooth proper surface X defined over K, under the assumption that X admits an integral model X whose special fibre has at worst ordinary double points. We will introduce a numerical invariant of X , in terms of which the ramification in the cohomology of X is determined.

中文翻译：

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由普通双点奇点引起的代数曲面上同调的分枝

摘要 令 K 是一个关于离散估值的完备域，其残差域是一个奇数正特征的代数闭域。我们研究了定义在 K 上的光滑适当表面 X 的上同调的分支，假设 X 承认积分模型 X，其特殊纤维具有最坏的普通双点。我们将介绍 X 的数值不变量，根据它确定 X 的上同调的分支。