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- W2954561176 abstract "Recently, the singular support and the characteristic cycle of an 'etale 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 'etale sheaves on a smooth fibration. Meanwhile, we show the failure of the lower semi-continuity of characteristic cycles in a higher relative dimension case, which is different from Deligne and Laumon's result in the relative curve case." @default.
- W2954561176 created "2019-07-12" @default.
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- W2954561176 date "2017-02-22" @default.
- W2954561176 modified "2023-10-03" @default.
- W2954561176 title "Relative singular support and the semi-continuity of characteristic cycles for 'etale sheaves" @default.
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- W2954561176 doi "https://doi.org/10.48550/arxiv.1702.06752" @default.
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