Spaces with \mathbbG_m-action, hyperbolic localization and nearby cycles

2016/11/05 by Richarz, Timo
#Algebraic Geometry (math.AG) #FOS: Mathematics

paper · doi:10.48550/arxiv.1611.01669

Abstract

We study families of algebraic spaces with a fiberwise \mathbbG_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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