The Kato-Nakayama space as a transcendental root stack
Algebraic Geometry
2017-03-21 v3
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.
Cite
@article{arxiv.1611.04041,
title = {The Kato-Nakayama space as a transcendental root stack},
author = {Mattia Talpo and Angelo Vistoli},
journal= {arXiv preprint arXiv:1611.04041},
year = {2017}
}
Comments
v3: implemented referee's suggestions, final version to appear in IMRN