The Kato-Nakayama space as a transcendental root stack
File(s)
Accepted version
Author(s)
Talpo, Mattia
Vistoli, Angelo
Type
Journal Article
Abstract
We give a functorial description of the Kato-Nakayama space of a fine
saturated log analytic space that is similar in spirit to the functorial
description of root stacks. As a consequence we get a global description of the comparison map constructed in arXiv:1511.00037 from the Kato-Nakayama space to the (topological) infinite root stack.
saturated log analytic space that is similar in spirit to the functorial
description of root stacks. As a consequence we get a global description of the comparison map constructed in arXiv:1511.00037 from the Kato-Nakayama space to the (topological) infinite root stack.
Date Issued
2018-10
Date Acceptance
2017-03-17
Citation
International Mathematics Research Notices, 2018, 2018 (19), pp.6145-6176
ISSN
1073-7928
Publisher
Oxford University Press (OUP)
Start Page
6145
End Page
6176
Journal / Book Title
International Mathematics Research Notices
Volume
2018
Issue
19
Copyright Statement
© 2018 Oxford University Press. This is a pre-copy-editing, author-produced version of an article accepted for publication in International Mathematics Research Notices following peer review. The definitive publisher-authenticated version Mattia Talpo, Angelo Vistoli; The Kato–Nakayama Space as a Transcendental Root Stack, International Mathematics Research Notices, Volume 2018, Issue 19, 9 October 2018, Pages 6145–6176, is available online at: https://dx.doi.org/10.1093/imrn/rnx079
Identifier
http://arxiv.org/abs/1611.04041v3
Subjects
math.AG
math.AG
14A20, 32K99
Publication Status
Published
Date Publish Online
2017-04-27