Categorical traces and a relative Lefschetz–Verdier formula
Categorical traces and a relative Lefschetz–Verdier formula
复制标题
分类迹和相对 Lefschetz-Verdier 公式
DOI：
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发表时间：
2020
期刊：
影响因子：
--
通讯作者：
Weizhe Zheng
中科院分区：
文献类型：
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作者：
Qinglin Lu;Weizhe Zheng
Abstract We prove a relative Lefschetz–Verdier theorem for locally acyclic objects over a Noetherian base scheme. This is done by studying duals and traces in the symmetric monoidal
$2$
-category of cohomological correspondences. We show that local acyclicity is equivalent to dualisability and deduce that duality preserves local acyclicity. As another application of the category of cohomological correspondences, we show that the nearby cycle functor over a Henselian valuation ring preserves duals, generalising a theorem of Gabber.
关于局部 shtuka 空间的 Kottwitz 猜想
DOI：
10.1017/fmp.2022.7
发表时间：
2022
期刊：
Forum of mathematics
影响因子：
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作者：
Hansen, David;Kaletha, Tasho;Weinstein, Jared
通讯作者：
Weinstein, Jared