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arxiv: 1611.04041 · v3 · pith:BISGA7EAnew · submitted 2016-11-12 · 🧮 math.AG

The Kato-Nakayama space as a transcendental root stack

Mattia Talpo , Angelo Vistoli This is my paper
classification 🧮 math.AG
keywords spacedescriptionkato-nakayamarootfunctorialstackanalyticarxiv
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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.

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