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引用次数: 21
摘要
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。
Spaces with 𝔾_{𝕞}-action, hyperbolic localization and nearby cycles
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.
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.
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