Cotangent bundle and microsupports in the mixed characteristic case

被引:3
作者
Saito, Takeshi [1 ]
机构
[1] Univ Tokyo, Sch Math Sci, Tokyo, Japan
关键词
microsupport; singular support; mixed characteristic; transversality; Frobenius-Witt differentials; cotangent bundle;
D O I
10.2140/ant.2022.16.335
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
For a regular scheme and a prime number p, we define the FW-cotangent bundle as a vector bundle on the closed subscheme defined by p = 0, under a certain finiteness condition. For a constructible complex on the etale site of the scheme, we introduce the condition to be microsupported on a closed conical subset in the FW-cotangent bundle. At the end of the article, we compute the singular supports in some cases.
引用
收藏
页码:335 / 368
页数:35
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