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 by Carchedi, Scherotzke, Sibilla and Talpo from the Kato-Nakayama space to the (topological) infinite root stack.

The Kato-Nakayama space as a transcendental root stack

Vistoli, Angelo
2018-01-01

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 by Carchedi, Scherotzke, Sibilla and Talpo from the Kato-Nakayama space to the (topological) infinite root stack.
Settore MAT/03 - Geometria
Algebraic geometry, log structures.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11384/69390
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