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A general formalism for logarithmic structures

Bollettino dell'Unione Matematica Italiana volume 11, pages 489–502 (2018)Cite this article

Abstract

We extend the formalism of “log spaces” of Gillam and Molcho (Log differentiable spaces and manifolds with corners. arXiv:1507.06752, 2015) to topoi equipped with a sheaf of monoids, and discuss Deligne–Faltings structures and root stacks in this context.

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Acknowledgements

We are grateful to the referee for useful comments.

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Authors and Affiliations

  1. Department of Mathematics, Simon Fraser University, 8888 University Drive, Burnaby, BC, V5A 1S6, Canada

    Mattia Talpo

  2. Pacific Institute for the Mathematical Sciences, 4176-2207 Main Mall, Vancouver, BC, V6T 1Z4, Canada

    Mattia Talpo

  3. Scuola Normale Superiore, Piazza dei Cavalieri 7, 56126, Pisa, Italy

    Angelo Vistoli

Authors
  1. Mattia Talpo
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  2. Angelo Vistoli
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Correspondence to Mattia Talpo.

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On behalf of all authors, the corresponding author states that there is no conflict of interest.

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Partially supported by research funds from the Scuola Normale Superiore.

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Talpo, M., Vistoli, A. A general formalism for logarithmic structures. Boll Unione Mat Ital 11, 489–502 (2018). https://doi.org/10.1007/s40574-017-0149-6

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  • DOI: https://doi.org/10.1007/s40574-017-0149-6

Keywords

  • Logarithmic Structure
  • Root Stack
  • Molcho
  • Monoid Object
  • Ringed Topos