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Relative singular support and the semi-continuity of characteristic cycles for étale sheaves

Hu, Haoyu ; Yang, Enlin



Abstract

Recently, the singular support and the characteristic cycle of an ,tale sheaf on a smooth variety over a perfect field are constructed by Beilinson and Saito, respectively. In this article, we extend the singular support to a relative situation. As an application, we prove the generic constancy for singular supports and characteristic cycles of ,tale sheaves on a smooth fibration. Meanwhile, we ...

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