Characteristic cycle of a rank one sheaf and ramification theory

IF 0.9 1区数学 Q2 MATHEMATICS

Journal of Algebraic Geometry Pub Date : 2017-12-26 DOI:10.1090/jag/758

Yuri Yatagawa

引用次数: 1

Abstract

We compute the characteristic cycle of a rank one sheaf on a smooth surface over a perfect field of positive characteristic. We construct a canonical lifting on the cotangent bundle of Kato’s logarithmic characteristic cycle using ramification theory and prove the equality of the characteristic cycle and the canonical lifting. As corollaries, we obtain a computation of the singular support in terms of ramification theory and the Milnor formula for the canonical lifting.

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一阶鞘的特征环与分支理论

我们计算了正特征完美域上光滑表面上一阶鞘的特征环。利用分枝理论在Kato对数特征环的余切丛上构造了一个正则提升，并证明了特征环与正则提升的等价性。作为推论，我们根据分枝理论和正则提升的Milnor公式得到了奇异支持的计算。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Journal of Algebraic Geometry 数学-数学

CiteScore

2.70

自引率

5.60%

发文量

审稿时长

>12 weeks

期刊介绍： The Journal of Algebraic Geometry is devoted to research articles in algebraic geometry, singularity theory, and related subjects such as number theory, commutative algebra, projective geometry, complex geometry, and geometric topology. This journal, published quarterly with articles electronically published individually before appearing in an issue, is distributed by the American Mathematical Society (AMS). In order to take advantage of some features offered for this journal, users will occasionally be linked to pages on the AMS website.