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A general formalism for logarithmic structures

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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

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