Spaces with 𝔾_{𝕞}-action, hyperbolic localization and nearby cycles

IF 0.9 1区数学 Q2 MATHEMATICS

Journal of Algebraic Geometry Pub Date : 2016-11-05 DOI:10.1090/jag/710

Timo Richarz

引用次数: 21

Abstract

We study families of algebraic spaces with G m {\mathbb G}_m -action and prove Braden’s theorem on hyperbolic localization for arbitrary base schemes. As an application, we obtain that hyperbolic localization commutes with nearby cycles.

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具有几何作用、双曲定位和邻近环的空间

研究了具有G m {\mathbb G}_m -作用的代数空间族，并证明了任意基格式双曲局部化的Braden定理。作为一个应用，我们得到了双曲局部化与附近环的交换。

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.