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Infinite root stacks and quasi-coherent sheaves on logarithmic schemes

Authors
  • Talpo, Mattia
  • Vistoli, Angelo
Type
Preprint
Publication Date
Dec 11, 2017
Submission Date
Oct 05, 2014
Identifiers
DOI: 10.1112/plms.12109
Source
arXiv
License
Yellow
External links

Abstract

We define and study infinite root stacks of fine and saturated logarithmic schemes, a limit version of the root stacks introduced by Niels Borne and the second author. We show in particular that the infinite root stack determines the logarithmic structure, and recovers the Kummer-flat topos of the logarithmic scheme. We also extend the correspondence between parabolic sheaves and quasi-coherent sheaves on root stacks to this new setting.

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