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

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.
2018
Settore MAT/03 - Geometria
Algebraic geometry, log structures.
File in questo prodotto:
File Dimensione Formato  
rnx079.pdf

Accesso chiuso

Descrizione: Articolo
Tipologia: Published version
Licenza: Non pubblico
Dimensione 328.19 kB
Formato Adobe PDF
328.19 kB Adobe PDF   Richiedi una copia
knroot_revised2.pdf

accesso aperto

Tipologia: Accepted version (post-print)
Licenza: Solo Lettura
Dimensione 361.49 kB
Formato Adobe PDF
361.49 kB Adobe PDF

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11384/69390
Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus 8
  • ???jsp.display-item.citation.isi??? 8
social impact