Lefschetz theorems in flat cohomology and applications

被引:0
|
作者
Cotner, Sean [1 ]
Zavyalov, Bogdan [2 ]
机构
[1] Univ Michigan, 530 Church St, Ann Arbor, MI 48109 USA
[2] Inst Adv Study, 1 Einstein Dr, Princeton, NJ 08540 USA
关键词
Lefschetz hyperplane theorem; flat cohomology; Picard scheme;
D O I
10.1112/S0010437X24007231
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
We prove a version of the Lefschetz hyperplane theorem for fppf cohomology with coefficients in any finite commutative group scheme over the ground field. As consequences, we establish new Lefschetz results for the Picard scheme.
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页数:22
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