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arXiv · 1611.01669

Spaces with $\mathbb{G}_m$-action, hyperbolic localization and nearby cycles

Timo Richarz
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Abstract

We study families of algebraic spaces with a fiberwise $\mathbb{G}_m$-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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Timo Richarz. 2016-11-05. Spaces with $\mathbb{G}_m$-action, hyperbolic localization and nearby cycles. https://arxiv.org/abs/1611.01669

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