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

来源：

ALGEBRA & NUMBER THEORY | 2022年 / 16卷 / 02期

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

页码：335 / 368

页数：35

共 16 条

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