English

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

Algebraic Geometry 2018-08-22 v3

Abstract

We study families of algebraic spaces with a fiberwise Gm\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.

Cite

@article{arxiv.1611.01669,
  title  = {Spaces with $\mathbb{G}_m$-action, hyperbolic localization and nearby cycles},
  author = {Timo Richarz},
  journal= {arXiv preprint arXiv:1611.01669},
  year   = {2018}
}

Comments

Typos corrected, references added

R2 v1 2026-06-22T16:43:07.191Z