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  Spaces with Gm-action, hyperbolic localization and nearby cycles

Richarz, T. (2019). Spaces with Gm-action, hyperbolic localization and nearby cycles. Journal of Algebraic Geometry, 28(2), 251-289. doi:10.1090/jag/710.

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Item Permalink: https://hdl.handle.net/21.11116/0000-0004-8AB9-0 Version Permalink: https://hdl.handle.net/21.11116/0000-0004-8ABA-F
Genre: Journal Article
Latex : Spaces with $\mathbb{G}_m$-action, hyperbolic localization and nearby cycles

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 Creators:
Richarz, Timo1, Author           
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1Max Planck Institute for Mathematics, Max Planck Society, ou_3029201              

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Free keywords: Mathematics, Algebraic Geometry
 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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Language(s): eng - English
 Dates: 2019
 Publication Status: Issued
 Pages: 39
 Publishing info: -
 Table of Contents: -
 Rev. Type: Peer
 Identifiers: arXiv: 1611.01669
URI: http://arxiv.org/abs/1611.01669
DOI: 10.1090/jag/710
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Title: Journal of Algebraic Geometry
  Abbreviation : J. Algebraic Geom.
Source Genre: Journal
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Publ. Info: American Mathematical Society
Pages: - Volume / Issue: 28 (2) Sequence Number: - Start / End Page: 251 - 289 Identifier: -